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352925328 = 24373121093
BaseRepresentation
bin10101000010010…
…011011010010000
3220121002110112110
4111002103122100
51210322102303
655004225320
711513546550
oct2502233220
9817073473
10352925328
11171243028
129a23b240
135816b872
1434c2d160
1520eb5703
hex15093690

352925328 has 120 divisors (see below), whose sum is σ = 1077651264. Its totient is φ = 97493760.

The previous prime is 352925291. The next prime is 352925369. The reversal of 352925328 is 823529253.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322350 + ... + 323442.

Almost surely, 2352925328 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 352925328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538825632).

352925328 is an abundant number, since it is smaller than the sum of its proper divisors (724725936).

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

352925328 is a wasteful number, since it uses less digits than its factorization.

352925328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1136 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 352925328 is about 18786.3069281858. The cubic root of 352925328 is about 706.6878246108.

The spelling of 352925328 in words is "three hundred fifty-two million, nine hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 961 1093 1302 1488 1736 1922 2186 2604 2883 3279 3472 3844 4372 5208 5766 6558 6727 7651 7688 8744 10416 11532 13116 13454 15302 15376 17488 20181 22953 23064 26232 26908 30604 33883 40362 45906 46128 52464 53816 61208 67766 80724 91812 101649 107632 122416 135532 161448 183624 203298 237181 271064 322896 367248 406596 474362 542128 711543 813192 948724 1050373 1423086 1626384 1897448 2100746 2846172 3151119 3794896 4201492 5692344 6302238 7352611 8402984 11384688 12604476 14705222 16805968 22057833 25208952 29410444 44115666 50417904 58820888 88231332 117641776 176462664 352925328