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368690976 = 253211311329
BaseRepresentation
bin10101111110011…
…100011100100000
3221200202102221100
4111332130130200
51223341102401
6100330154400
712064551543
oct2576343440
9850672840
10368690976
1117a130a95
12a3582a00
135b4cb854
1436d7485a
152257bb86
hex15f9c720

368690976 has 72 divisors (see below), whose sum is σ = 1057836780. Its totient is φ = 121798656.

The previous prime is 368690969. The next prime is 368691013. The reversal of 368690976 is 679096863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 312440976 + 56250000 = 17676^2 + 7500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26880 + ... + 38208.

Almost surely, 2368690976 is an apocalyptic number.

368690976 is a gapful number since it is divisible by the number (36) 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 368690976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528918390).

368690976 is an abundant number, since it is smaller than the sum of its proper divisors (689145804).

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

368690976 is a wasteful number, since it uses less digits than its factorization.

368690976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 368690976 is about 19201.3274541111. The cubic root of 368690976 is about 717.0578082859.

The spelling of 368690976 in words is "three hundred sixty-eight million, six hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 11329 16272 22658 32544 33987 45316 67974 90632 101961 135948 181264 203922 271896 362528 407844 543792 815688 1087584 1280177 1631376 2560354 3262752 3840531 5120708 7681062 10241416 11521593 15362124 20482832 23043186 30724248 40965664 46086372 61448496 92172744 122896992 184345488 368690976