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313412204 = 227172772377
BaseRepresentation
bin10010101011100…
…100101001101100
3210211201222201102
4102223210221230
51120213142304
651033302232
710523650130
oct2253445154
9724658642
10313412204
11150a05256
1288b64978
134cc15811
142d8a53c0
151c7acd1e
hex12ae4a6c

313412204 has 48 divisors (see below), whose sum is σ = 666372672. Its totient is φ = 125908992.

The previous prime is 313412173. The next prime is 313412213. The reversal of 313412204 is 402214313.

It is a super-2 number, since 2×3134122042 = 196454419232275232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130664 + ... + 133040.

It is an arithmetic number, because the mean of its divisors is an integer number (13882764).

Almost surely, 2313412204 is an apocalyptic number.

313412204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313412204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333186336).

313412204 is an abundant number, since it is smaller than the sum of its proper divisors (352960468).

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

313412204 is a wasteful number, since it uses less digits than its factorization.

313412204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 313412204 is about 17703.4517538247. The cubic root of 313412204 is about 679.2640567396.

Adding to 313412204 its reverse (402214313), we get a palindrome (715626517).

The spelling of 313412204 in words is "three hundred thirteen million, four hundred twelve thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 277 476 554 1108 1939 2377 3878 4709 4754 7756 9418 9508 16639 18836 32963 33278 40409 65926 66556 80818 131852 161636 282863 565726 658429 1131452 1316858 2633716 4609003 9218006 11193293 18436012 22386586 44773172 78353051 156706102 313412204