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232328016 = 24326126449
BaseRepresentation
bin11011101100100…
…00101101010000
3121012011111010100
431312100231100
5433433444031
635015332400
75520520104
oct1566205520
9535144110
10232328016
1110a163528
1265981100
1339195acb
1422bd9904
15155e2de6
hexdd90b50

232328016 has 60 divisors (see below), whose sum is σ = 660879700. Its totient is φ = 76170240.

The previous prime is 232327987. The next prime is 232328023. The reversal of 232328016 is 610823232.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 217857600 = 3804^2 + 14760^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4441 + ... + 22008.

Almost surely, 2232328016 is an apocalyptic number.

It is an amenable number.

232328016 is an abundant number, since it is smaller than the sum of its proper divisors (428551684).

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

232328016 is a wasteful number, since it uses less digits than its factorization.

232328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26524 (or 26515 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 232328016 is about 15242.3100611423. The cubic root of 232328016 is about 614.7528175796.

The spelling of 232328016 in words is "two hundred thirty-two million, three hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 26449 52898 79347 105796 158694 211592 238041 317388 423184 476082 634776 952164 1269552 1613389 1904328 3226778 3808656 4840167 6453556 9680334 12907112 14520501 19360668 25814224 29041002 38721336 58082004 77442672 116164008 232328016