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313541540 = 225131770937
BaseRepresentation
bin10010101100000…
…100001110100100
3210211222120010122
4102230010032210
51120231312130
651040141112
710525026164
oct2254041644
9724876118
10313541540
11150a93444
1289007798
134cc5c650
142d8da5a4
151c7d62e5
hex12b043a4

313541540 has 48 divisors (see below), whose sum is σ = 750807792. Its totient is φ = 108957696.

The previous prime is 313541519. The next prime is 313541549. The reversal of 313541540 is 45145313.

It can be written as a sum of positive squares in 8 ways, for example, as 20994724 + 292546816 = 4582^2 + 17104^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (313541549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31049 + ... + 39888.

It is an arithmetic number, because the mean of its divisors is an integer number (15641829).

Almost surely, 2313541540 is an apocalyptic number.

It is an amenable number.

313541540 is an abundant number, since it is smaller than the sum of its proper divisors (437266252).

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

313541540 is a wasteful number, since it uses less digits than its factorization.

313541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70976 (or 70974 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 313541540 is about 17707.1042240113. The cubic root of 313541540 is about 679.3574813232.

Adding to 313541540 its reverse (45145313), we get a palindrome (358686853).

The spelling of 313541540 in words is "three hundred thirteen million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 70937 141874 283748 354685 709370 922181 1205929 1418740 1844362 2411858 3688724 4610905 4823716 6029645 9221810 12059290 15677077 18443620 24118580 31354154 62708308 78385385 156770770 313541540