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313726660 = 2251361131151
BaseRepresentation
bin10010101100110…
…001011011000100
3210212022222001221
4102230301123010
51120303223120
651044130124
710526426662
oct2254613304
9725288057
10313726660
111510aa535
1289096944
134ccc59a0
142d947c32
151c8210aa
hex12b316c4

313726660 has 96 divisors (see below), whose sum is σ = 731453184. Its totient is φ = 112320000.

The previous prime is 313726649. The next prime is 313726709. The reversal of 313726660 is 66627313.

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 31 ways as a sum of consecutive naturals, for example, 2077585 + ... + 2077735.

It is an arithmetic number, because the mean of its divisors is an integer number (7619304).

Almost surely, 2313726660 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 313726660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365726592).

313726660 is an abundant number, since it is smaller than the sum of its proper divisors (417726524).

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

313726660 is a wasteful number, since it uses less digits than its factorization.

313726660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 313726660 is about 17712.3307331362. The cubic root of 313726660 is about 679.4911562362.

The spelling of 313726660 in words is "three hundred thirteen million, seven hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 131 151 244 260 262 302 305 524 604 610 655 755 793 1220 1310 1510 1586 1703 1963 2620 3020 3172 3406 3926 3965 6812 7852 7930 7991 8515 9211 9815 15860 15982 17030 18422 19630 19781 31964 34060 36844 39260 39562 39955 46055 79124 79910 92110 98905 103883 119743 159820 184220 197810 207766 239486 257153 395620 415532 478972 514306 519415 598715 1028612 1038830 1197430 1206641 1285765 2077660 2394860 2413282 2571530 4826564 5143060 6033205 12066410 15686333 24132820 31372666 62745332 78431665 156863330 313726660