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313413140 = 225127163757
BaseRepresentation
bin10010101011100…
…100111000010100
3210211202001000002
4102223210320110
51120213210030
651033310432
710523652635
oct2253447024
9724661002
10313413140
11150a05a27
1288b65418
134cc16081
142d8a588c
151c7ad245
hex12ae4e14

313413140 has 48 divisors (see below), whose sum is σ = 668301312. Its totient is φ = 123451776.

The previous prime is 313413137. The next prime is 313413211. The reversal of 313413140 is 41314313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 413642 + ... + 414398.

It is an arithmetic number, because the mean of its divisors is an integer number (13922944).

Almost surely, 2313413140 is an apocalyptic number.

It is an amenable number.

313413140 is an abundant number, since it is smaller than the sum of its proper divisors (354888172).

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

313413140 is a wasteful number, since it uses less digits than its factorization.

313413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 313413140 is about 17703.4781893277. The cubic root of 313413140 is about 679.2647329423.

Adding to 313413140 its reverse (41314313), we get a palindrome (354727453).

The spelling of 313413140 in words is "three hundred thirteen million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 127 163 254 326 508 635 652 757 815 1270 1514 1630 2540 3028 3260 3785 7570 15140 20701 41402 82804 96139 103505 123391 192278 207010 246782 384556 414020 480695 493564 616955 961390 1233910 1922780 2467820 15670657 31341314 62682628 78353285 156706570 313413140