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354965380 = 225711534349
BaseRepresentation
bin10101001010000…
…101011110000100
3220201221002221221
4111022011132010
51211332343010
655120050124
711540104330
oct2512053604
9821832857
10354965380
11172406820
129aa63944
13587042b3
14352007c0
1521269dda
hex15285784

354965380 has 96 divisors (see below), whose sum is σ = 947116800. Its totient is φ = 108526080.

The previous prime is 354965339. The next prime is 354965411. The reversal of 354965380 is 83569453.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79446 + ... + 83794.

It is an arithmetic number, because the mean of its divisors is an integer number (9865800).

Almost surely, 2354965380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354965380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473558400).

354965380 is an abundant number, since it is smaller than the sum of its proper divisors (592151420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354965380 is a wasteful number, since it uses less digits than its factorization.

354965380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 354965380 is about 18840.5249396082. The cubic root of 354965380 is about 708.0468571029.

The spelling of 354965380 in words is "three hundred fifty-four million, nine hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 530 583 742 770 1060 1166 1484 1540 1855 2332 2915 3710 4081 4349 5830 7420 8162 8698 11660 16324 17396 20405 21745 30443 40810 43490 47839 60886 81620 86980 95678 121772 152215 191356 230497 239195 304430 334873 460994 478390 608860 669746 921988 956780 1152485 1339492 1613479 1674365 2304970 2535467 3226958 3348730 4609940 5070934 6453916 6697460 8067395 10141868 12677335 16134790 17748269 25354670 32269580 35496538 50709340 70993076 88741345 177482690 354965380