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67104324 = 223272109349
BaseRepresentation
bin1111111111111…
…0111001000100
311200021020211100
43333332321010
5114134314244
610354140100
71443243300
oct377767104
9150236740
1067104324
1134973521
121a581630
1310b96801
148caad00
155d57b69
hex3ffee44

67104324 has 108 divisors (see below), whose sum is σ = 199699500. Its totient is φ = 18942336.

The previous prime is 67104313. The next prime is 67104341. The reversal of 67104324 is 42340176.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 19079424 = 6930^2 + 4368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192102 + ... + 192450.

Almost surely, 267104324 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 67104324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99849750).

67104324 is an abundant number, since it is smaller than the sum of its proper divisors (132595176).

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

67104324 is a wasteful number, since it uses less digits than its factorization.

67104324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67104324 is about 8191.7228957039. The cubic root of 67104324 is about 406.3655051761.

The spelling of 67104324 in words is "sixty-seven million, one hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 349 436 441 588 654 698 763 882 981 1047 1308 1396 1526 1764 1962 2094 2289 2443 3052 3141 3924 4188 4578 4886 5341 6282 6867 7329 9156 9772 10682 12564 13734 14658 16023 17101 21364 21987 27468 29316 32046 34202 38041 43974 48069 51303 64092 68404 76082 87948 96138 102606 114123 152164 153909 192276 205212 228246 266287 307818 342369 456492 532574 615636 684738 798861 1065148 1369476 1597722 1864009 2396583 3195444 3728018 4793166 5592027 7456036 9586332 11184054 16776081 22368108 33552162 67104324