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313213400 = 235211313859
BaseRepresentation
bin10010101010110…
…100000111011000
3210211100220000022
4102222310013120
51120140312100
651025130012
710522161413
oct2252640730
9724326008
10313213400
11150889955
1288a89908
134cb76196
142d852b7a
151c76de85
hex12ab41d8

313213400 has 48 divisors (see below), whose sum is σ = 734718600. Its totient is φ = 124167680.

The previous prime is 313213357. The next prime is 313213489. The reversal of 313213400 is 4312313.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 15671 + ... + 29529.

Almost surely, 2313213400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367359300).

313213400 is an abundant number, since it is smaller than the sum of its proper divisors (421505200).

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

313213400 is a wasteful number, since it uses less digits than its factorization.

313213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 313213400 is about 17697.8360259101. The cubic root of 313213400 is about 679.1204025010.

Adding to 313213400 its reverse (4312313), we get a palindrome (317525713).

The spelling of 313213400 in words is "three hundred thirteen million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 13859 22600 27718 55436 69295 110872 138590 277180 346475 554360 692950 1385900 1566067 2771800 3132134 6264268 7830335 12528536 15660670 31321340 39151675 62642680 78303350 156606700 313213400