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313213404 = 2237194432
BaseRepresentation
bin10010101010110…
…100000111011100
3210211100220000110
4102222310013130
51120140312104
651025130020
710522161420
oct2252640734
9724326013
10313213404
11150889959
1288a89910
134cb7619a
142d852b80
151c76de89
hex12ab41dc

313213404 has 72 divisors (see below), whose sum is σ = 881184640. Its totient is φ = 84588192.

The previous prime is 313213357. The next prime is 313213489. The reversal of 313213404 is 404312313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706807 + ... + 707249.

Almost surely, 2313213404 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 313213404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440592320).

313213404 is an abundant number, since it is smaller than the sum of its proper divisors (567971236).

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

313213404 is a wasteful number, since it uses less digits than its factorization.

313213404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 474 counting only the distinct ones).

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

The square root of 313213404 is about 17697.8361389182. The cubic root of 313213404 is about 679.1204053920.

Adding to 313213404 its reverse (404312313), we get a palindrome (717525717).

The spelling of 313213404 in words is "three hundred thirteen million, two hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 443 532 798 886 1329 1596 1772 2658 3101 5316 6202 8417 9303 12404 16834 18606 25251 33668 37212 50502 58919 101004 117838 176757 196249 235676 353514 392498 588747 707028 784996 1177494 1373743 2354988 2747486 3728731 4121229 5494972 7457462 8242458 11186193 14914924 16484916 22372386 26101117 44744772 52202234 78303351 104404468 156606702 313213404