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313434120 = 23352611951
BaseRepresentation
bin10010101011101…
…010000000001000
3210211210002210010
4102223222000020
51120214342440
651033551520
710524101046
oct2253520010
9724702703
10313434120
11150a1a76a
1288b755a0
134cc2279c
142d8ad396
151c7b4580
hex12aea008

313434120 has 32 divisors (see below), whose sum is σ = 940302720. Its totient is φ = 83582400.

The previous prime is 313434119. The next prime is 313434157. The reversal of 313434120 is 21434313.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305856 + ... + 1306095.

It is an arithmetic number, because the mean of its divisors is an integer number (29384460).

Almost surely, 2313434120 is an apocalyptic number.

313434120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313434120 is an abundant number, since it is smaller than the sum of its proper divisors (626868600).

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

313434120 is a wasteful number, since it uses less digits than its factorization.

313434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611965 (or 2611961 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313434120 is about 17704.0707183405. The cubic root of 313434120 is about 679.2798893544.

Adding to 313434120 its reverse (21434313), we get a palindrome (334868433).

The spelling of 313434120 in words is "three hundred thirteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2611951 5223902 7835853 10447804 13059755 15671706 20895608 26119510 31343412 39179265 52239020 62686824 78358530 104478040 156717060 313434120