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168404904 = 233219257479
BaseRepresentation
bin10100000100110…
…10011110101000
3102201212212002200
422002122132220
5321102424104
624413300200
74113263253
oct1202323650
9381785080
10168404904
1187073108
1248494660
1328b74295
141851a09a
15ebb7b39
hexa09a7a8

168404904 has 96 divisors (see below), whose sum is σ = 482976000. Its totient is φ = 52862976.

The previous prime is 168404879. The next prime is 168404911. The reversal of 168404904 is 409404861.

It is a happy number.

168404904 is a `hidden beast` number, since 168 + 4 + 0 + 490 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351337 + ... + 351815.

It is an arithmetic number, because the mean of its divisors is an integer number (5031000).

Almost surely, 2168404904 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 168404904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241488000).

168404904 is an abundant number, since it is smaller than the sum of its proper divisors (314571096).

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

168404904 is a wasteful number, since it uses less digits than its factorization.

168404904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168404904 is about 12977.0915077301. The cubic root of 168404904 is about 552.2277730453.

The spelling of 168404904 in words is "one hundred sixty-eight million, four hundred four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 257 342 456 479 514 684 771 958 1028 1368 1437 1542 1916 2056 2313 2874 3084 3832 4311 4626 4883 5748 6168 8622 9101 9252 9766 11496 14649 17244 18202 18504 19532 27303 29298 34488 36404 39064 43947 54606 58596 72808 81909 87894 109212 117192 123103 163818 175788 218424 246206 327636 351576 369309 492412 655272 738618 984824 1107927 1477236 2215854 2338957 2954472 4431708 4677914 7016871 8863416 9355828 14033742 18711656 21050613 28067484 42101226 56134968 84202452 168404904