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107334304 = 257411127
BaseRepresentation
bin1100110010111…
…00101010100000
321110222010222121
412121130222200
5204434144204
614352314024
72442220000
oct631345240
9243863877
10107334304
1155650940
122bb42914
1319310c2c
1410380000
159652b54
hex665caa0

107334304 has 120 divisors (see below), whose sum is σ = 271047168. Its totient is φ = 41489280.

The previous prime is 107334301. The next prime is 107334341. The reversal of 107334304 is 403433701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107334301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 845089 + ... + 845215.

Almost surely, 2107334304 is an apocalyptic number.

107334304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135523584).

107334304 is an abundant number, since it is smaller than the sum of its proper divisors (163712864).

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

107334304 is an equidigital number, since it uses as much as digits as its factorization.

107334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 107334304 is about 10360.2270245396. The cubic root of 107334304 is about 475.2398478452.

The spelling of 107334304 in words is "one hundred seven million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 127 154 176 196 224 254 308 343 352 392 508 539 616 686 784 889 1016 1078 1232 1372 1397 1568 1778 2032 2156 2401 2464 2744 2794 3556 3773 4064 4312 4802 5488 5588 6223 7112 7546 8624 9604 9779 10976 11176 12446 14224 15092 17248 19208 19558 22352 24892 26411 28448 30184 38416 39116 43561 44704 49784 52822 60368 68453 76832 78232 87122 99568 105644 120736 136906 156464 174244 199136 211288 273812 304927 312928 348488 422576 479171 547624 609854 696976 845152 958342 1095248 1219708 1393952 1916684 2190496 2439416 3354197 3833368 4878832 6708394 7666736 9757664 13416788 15333472 26833576 53667152 107334304