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354085128 = 23332956527
BaseRepresentation
bin10101000110101…
…110100100001000
3220200021101111000
4111012232210020
51211121211003
655045135000
711526450105
oct2506564410
9820241430
10354085128
11171965441
129a6ba460
1358486737
1435051aac
15211441a3
hex151ae908

354085128 has 64 divisors (see below), whose sum is σ = 1017504000. Its totient is φ = 113956416.

The previous prime is 354085111. The next prime is 354085139. The reversal of 354085128 is 821580453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354085092 and 354085101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22000 + ... + 34527.

It is an arithmetic number, because the mean of its divisors is an integer number (15898500).

Almost surely, 2354085128 is an apocalyptic number.

It is an amenable number.

354085128 is an abundant number, since it is smaller than the sum of its proper divisors (663418872).

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

354085128 is a wasteful number, since it uses less digits than its factorization.

354085128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56571 (or 56561 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 354085128 is about 18817.1498373160. The cubic root of 354085128 is about 707.4610952232.

The spelling of 354085128 in words is "three hundred fifty-four million, eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 56527 113054 169581 226108 339162 452216 508743 678324 1017486 1356648 1526229 1639283 2034972 3052458 3278566 4069944 4917849 6104916 6557132 9835698 12209832 13114264 14753547 19671396 29507094 39342792 44260641 59014188 88521282 118028376 177042564 354085128