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368689104 = 24337121921
BaseRepresentation
bin10101111110011…
…011111111010000
3221200202100101000
4111332123333100
51223341022404
6100330142000
712064543230
oct2576337720
9850670330
10368689104
1117a12a643
12a3581900
135b4caa44
1436d73cc0
152257b339
hex15f9bfd0

368689104 has 80 divisors (see below), whose sum is σ = 1209466240. Its totient is φ = 105338880.

The previous prime is 368689099. The next prime is 368689109. The reversal of 368689104 is 401986863.

It is an interprime number because it is at equal distance from previous prime (368689099) and next prime (368689109).

It is a self number, because there is not a number n which added to its sum of digits gives 368689104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368689109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57937 + ... + 63984.

It is an arithmetic number, because the mean of its divisors is an integer number (15118328).

Almost surely, 2368689104 is an apocalyptic number.

It is an amenable number.

368689104 is an abundant number, since it is smaller than the sum of its proper divisors (840777136).

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

368689104 is a wasteful number, since it uses less digits than its factorization.

368689104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121945 (or 121933 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 368689104 is about 19201.2787074195. The cubic root of 368689104 is about 717.0565946819.

The spelling of 368689104 in words is "three hundred sixty-eight million, six hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 121921 243842 365763 487684 731526 853447 975368 1097289 1463052 1706894 1950736 2194578 2560341 2926104 3291867 3413788 4389156 5120682 5852208 6583734 6827576 7681023 8778312 10241364 13167468 13655152 15362046 17556624 20482728 23043069 26334936 30724092 40965456 46086138 52669872 61448184 92172276 122896368 184344552 368689104