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329594112 = 2832143053
BaseRepresentation
bin10011101001010…
…011010100000000
3211222012010010100
4103221103110000
51133334002422
652412202400
711111334531
oct2351232400
9758163110
10329594112
1115a057a31
1292469400
1353390103
1431ab8688
151de077ac
hex13a53500

329594112 has 54 divisors (see below), whose sum is σ = 950307722. Its totient is φ = 109863936.

The previous prime is 329594101. The next prime is 329594137. The reversal of 329594112 is 211495923.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 389376 = 18144^2 + 624^2 .

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 69223 + ... + 73830.

Almost surely, 2329594112 is an apocalyptic number.

329594112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

329594112 is an abundant number, since it is smaller than the sum of its proper divisors (620713610).

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

329594112 is a wasteful number, since it uses less digits than its factorization.

329594112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143075 (or 143058 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 329594112 is about 18154.7269877572. The cubic root of 329594112 is about 690.7588877882.

It can be divided in two parts, 329 and 594112, that added together give a square (594441 = 7712).

The spelling of 329594112 in words is "three hundred twenty-nine million, five hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 143053 286106 429159 572212 858318 1144424 1287477 1716636 2288848 2574954 3433272 4577696 5149908 6866544 9155392 10299816 13733088 18310784 20599632 27466176 36621568 41199264 54932352 82398528 109864704 164797056 329594112