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318680064 = 21032151229
BaseRepresentation
bin10010111111101…
…010110000000000
3211012122121212100
4102333222300000
51123040230224
651342230400
710616510253
oct2277526000
9735577770
10318680064
1115398305a
128a885400
135103b4b1
143047709a
151ce9dac9
hex12feac00

318680064 has 132 divisors (see below), whose sum is σ = 930320560. Its totient is φ = 105062400.

The previous prime is 318680041. The next prime is 318680119. The reversal of 318680064 is 460086813.

It is a happy number.

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

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 11 ways as a sum of consecutive naturals, for example, 1391502 + ... + 1391730.

Almost surely, 2318680064 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 318680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465160280).

318680064 is an abundant number, since it is smaller than the sum of its proper divisors (611640496).

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

318680064 is a wasteful number, since it uses less digits than its factorization.

318680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

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

The square root of 318680064 is about 17851.6123641536. The cubic root of 318680064 is about 683.0486414842.

The spelling of 318680064 in words is "three hundred eighteen million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 229 256 288 302 384 453 458 512 576 604 687 768 906 916 1024 1152 1208 1359 1374 1536 1812 1832 2061 2304 2416 2718 2748 3072 3624 3664 4122 4608 4832 5436 5496 7248 7328 8244 9216 9664 10872 10992 14496 14656 16488 19328 21744 21984 28992 29312 32976 34579 38656 43488 43968 57984 58624 65952 69158 77312 86976 87936 103737 115968 117248 131904 138316 154624 173952 175872 207474 231936 234496 263808 276632 311211 347904 351744 414948 463872 527616 553264 622422 695808 703488 829896 1055232 1106528 1244844 1391616 1659792 2110464 2213056 2489688 3319584 4426112 4979376 6639168 8852224 9958752 13278336 17704448 19917504 26556672 35408896 39835008 53113344 79670016 106226688 159340032 318680064