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313470960 = 243511118739
BaseRepresentation
bin10010101011110…
…010111111110000
3210211211222022120
4102223302333300
51120222032320
651034434240
710524313335
oct2253627760
9724758276
10313470960
11150a45410
1288b92980
134cc3649a
142d8bc98c
151c7c0440
hex12af2ff0

313470960 has 80 divisors (see below), whose sum is σ = 1060110720. Its totient is φ = 75992320.

The previous prime is 313470959. The next prime is 313470961. The reversal of 313470960 is 69074313.

It is an interprime number because it is at equal distance from previous prime (313470959) and next prime (313470961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313470961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56730 + ... + 62009.

It is an arithmetic number, because the mean of its divisors is an integer number (13251384).

Almost surely, 2313470960 is an apocalyptic number.

313470960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313470960 is an abundant number, since it is smaller than the sum of its proper divisors (746639760).

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

313470960 is a wasteful number, since it uses less digits than its factorization.

313470960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118766 (or 118760 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 313470960 is about 17705.1111264516. Note that the first 4 decimals coincide. The cubic root of 313470960 is about 679.3065017418.

The spelling of 313470960 in words is "three hundred thirteen million, four hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 118739 237478 356217 474956 593695 712434 949912 1187390 1306129 1424868 1781085 1899824 2374780 2612258 2849736 3562170 3918387 4749560 5224516 5699472 6530645 7124340 7836774 9499120 10449032 13061290 14248680 15673548 19591935 20898064 26122580 28497360 31347096 39183870 52245160 62694192 78367740 104490320 156735480 313470960