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313334034 = 231343103907
BaseRepresentation
bin10010101011010…
…001100100010010
3210211121000111020
4102223101210102
51120203142114
651031500310
710523203206
oct2253214422
9724530436
10313334034
11150961552
1288b27696
134cbb9070
142d884b06
151c794aa9
hex12ad1912

313334034 has 64 divisors (see below), whose sum is σ = 698041344. Its totient is φ = 93151296.

The previous prime is 313334033. The next prime is 313334051. The reversal of 313334034 is 430433313.

It is a junction number, because it is equal to n+sod(n) for n = 313333995 and 313334013.

It is not an unprimeable number, because it can be changed into a prime (313334033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345009 + ... + 345915.

It is an arithmetic number, because the mean of its divisors is an integer number (10906896).

Almost surely, 2313334034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313334034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349020672).

313334034 is an abundant number, since it is smaller than the sum of its proper divisors (384707310).

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

313334034 is a wasteful number, since it uses less digits than its factorization.

313334034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 313334034 is about 17701.2438545996. The cubic root of 313334034 is about 679.2075789490.

Adding to 313334034 its reverse (430433313), we get a palindrome (743767347).

The spelling of 313334034 in words is "three hundred thirteen million, three hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 43 78 86 103 129 206 258 309 559 618 907 1118 1339 1677 1814 2678 2721 3354 4017 4429 5442 8034 8858 11791 13287 23582 26574 35373 39001 57577 70746 78002 93421 115154 117003 172731 186842 234006 280263 345462 507013 560526 1014026 1214473 1521039 2428946 3042078 3643419 4017103 7286838 8034206 12051309 24102618 52222339 104444678 156667017 313334034