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313412040 = 23325870589
BaseRepresentation
bin10010101011100…
…100100111001000
3210211201222111100
4102223210213020
51120213141130
651033301400
710523646504
oct2253444710
9724658440
10313412040
11150a05117
1288b64860
134cc15716
142d8a5304
151c7acc60
hex12ae49c8

313412040 has 48 divisors (see below), whose sum is σ = 1018590300. Its totient is φ = 83576448.

The previous prime is 313412009. The next prime is 313412069. The reversal of 313412040 is 40214313.

It can be written as a sum of positive squares in 2 ways, for example, as 284057316 + 29354724 = 16854^2 + 5418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 434935 + ... + 435654.

Almost surely, 2313412040 is an apocalyptic number.

313412040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313412040 is an abundant number, since it is smaller than the sum of its proper divisors (705178260).

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

313412040 is a wasteful number, since it uses less digits than its factorization.

313412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870606 (or 870599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313412040 is about 17703.4471219590. The cubic root of 313412040 is about 679.2639382595.

Adding to 313412040 its reverse (40214313), we get a palindrome (353626353).

The spelling of 313412040 in words is "three hundred thirteen million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 870589 1741178 2611767 3482356 4352945 5223534 6964712 7835301 8705890 10447068 13058835 15670602 17411780 20894136 26117670 31341204 34823560 39176505 52235340 62682408 78353010 104470680 156706020 313412040