Dunedin: New Zealand beat Bangladesh by 88 runs to secure a 3-0 series whitewash in the final one-day international at Dunedin's University Oval on Wednesday.
Despite Sabbir Rahman's battling century the tourists fell well short of the 331-run target set by the Black Caps and were all out for 242 with 16 balls to spare.
New Zealand made 330 for six after losing the toss and being sent in to bat, with half-centuries from Henry Nicholls, Tom Latham and Ross Taylor, who became New Zealand's highest ODI run-scorer with 8,026 career runs.
Bangladesh's hopes of a successful chase were ripped apart by Southee, who struck three times in his first two overs.
Tamim (0) carelessly edged the paceman through to Latham before Southee bowled Soumya Sarkar (0).
Liton Das (1) was then trapped lbw, before Trent Boult (2-37) and De Grandhomme (1-18) got in on the act, dismissing Mushfiqur Rahim (17) and Mahmudullah (16) respectively.
Sabbir and Saifuddin (44) combined for a 101-run sixth-wicket partnership, but Boult returned to break that and end the tourists' slim chances.
Tim Southee was the standout New Zealand bowler, taking six for 65, while Mustafizur Rahman was the only Bangladesh bowler to take two wickets but leaked 93 runs in his 10 overs.
Earlier, Ross Taylor (69), Henry Nicholls (64) and Tom Latham (59) helped the Black Caps to 330-6 after they were put in to bat.
Taylor made history with his innings, going past Stephen Fleming as New Zealand's all-time leading run-scorer in the 50-over format.
After opting to bowl first, Bangladesh made a solid start as Mashrafe Mortaza (1-51) trapped Colin Munro (8) in front.
Coming off two centuries this series, Martin Guptill fell for 29 - but it took a special piece of fielding to dismiss the opener.
Tamim Iqbal had to throw the ball into the air as he overbalanced over the boundary at long on, jumping back into play to complete the catch off Mohammad Saifuddin (1-48).
Taylor and Nicholls steadied New Zealand, the former bringing up 8,000 ODI runs before passing Fleming's record, as they combined for a 92-run stand.
Nicholls and Taylor both fell short of tons but the Black Caps still managed to take 106 off the final 10 overs.
Latham, Jimmy Neesham (37 off 24) and Colin de Grandhomme (37 off 15) helped the hosts to a massive total.