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336713680 = 2455098269
BaseRepresentation
bin10100000100011…
…101011111010000
3212110120211100001
4110010131133100
51142144314210
653224535344
711226006352
oct2404353720
9773524301
10336713680
1116307aa76
1294921554
13549b3884
1432a0d0d2
151e86203a
hex1411d7d0

336713680 has 40 divisors (see below), whose sum is σ = 784492200. Its totient is φ = 134404608.

The previous prime is 336713651. The next prime is 336713701. The reversal of 336713680 is 86317633.

It can be written as a sum of positive squares in 4 ways, for example, as 153165376 + 183548304 = 12376^2 + 13548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3367136802 = 226752204598284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36586 + ... + 44854.

It is an arithmetic number, because the mean of its divisors is an integer number (19612305).

Almost surely, 2336713680 is an apocalyptic number.

It is an amenable number.

336713680 is an abundant number, since it is smaller than the sum of its proper divisors (447778520).

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

336713680 is a wasteful number, since it uses less digits than its factorization.

336713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 336713680 is about 18349.7596714507. The cubic root of 336713680 is about 695.6971972988.

The spelling of 336713680 in words is "three hundred thirty-six million, seven hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 509 1018 2036 2545 4072 5090 8144 8269 10180 16538 20360 33076 40720 41345 66152 82690 132304 165380 330760 661520 4208921 8417842 16835684 21044605 33671368 42089210 67342736 84178420 168356840 336713680