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313346660 = 2251173109179
BaseRepresentation
bin10010101011010…
…100101001100100
3210211121122210212
4102223110221210
51120204043120
651032034552
710523255054
oct2253245144
9724548725
10313346660
1115096aa90
1288b32a58
134cbc1a33
142d889564
151c7986c5
hex12ad4a64

313346660 has 96 divisors (see below), whose sum is σ = 738460800. Its totient is φ = 110730240.

The previous prime is 313346639. The next prime is 313346681. The reversal of 313346660 is 66643313.

It is an interprime number because it is at equal distance from previous prime (313346639) and next prime (313346681).

It is a super-2 number, since 2×3133466602 = 196372258666311200, which contains 22 as substring.

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, 1750451 + ... + 1750629.

It is an arithmetic number, because the mean of its divisors is an integer number (7692300).

Almost surely, 2313346660 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 313346660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369230400).

313346660 is an abundant number, since it is smaller than the sum of its proper divisors (425114140).

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

313346660 is a wasteful number, since it uses less digits than its factorization.

313346660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 313346660 is about 17701.6004926108. The cubic root of 313346660 is about 679.2167018645.

Adding to 313346660 its reverse (66643313), we get a palindrome (379989973).

The spelling of 313346660 in words is "three hundred thirteen million, three hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 109 110 146 179 218 220 292 358 365 436 545 716 730 803 895 1090 1199 1460 1606 1790 1969 2180 2398 3212 3580 3938 4015 4796 5995 7876 7957 8030 9845 11990 13067 15914 16060 19511 19690 23980 26134 31828 39022 39380 39785 52268 65335 78044 79570 87527 97555 130670 143737 159140 175054 195110 214621 261340 287474 350108 390220 429242 437635 574948 718685 858484 875270 1073105 1424303 1437370 1750540 2146210 2848606 2874740 4292420 5697212 7121515 14243030 15667333 28486060 31334666 62669332 78336665 156673330 313346660