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313525404 = 2236791361
BaseRepresentation
bin10010101100000…
…000010010011100
3210211221202000000
4102230000102130
51120230303104
651035534300
710524631143
oct2254002234
9724852000
10313525404
11150a82305
1288bba390
134cc551ba
142d8d475a
151c7d1639
hex12b0049c

313525404 has 84 divisors (see below), whose sum is σ = 833652960. Its totient is φ = 103109760.

The previous prime is 313525379. The next prime is 313525417. The reversal of 313525404 is 404525313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 229684 + ... + 231044.

It is an arithmetic number, because the mean of its divisors is an integer number (9924440).

Almost surely, 2313525404 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 313525404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416826480).

313525404 is an abundant number, since it is smaller than the sum of its proper divisors (520127556).

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

313525404 is a wasteful number, since it uses less digits than its factorization.

313525404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 313525404 is about 17706.6485818181. The cubic root of 313525404 is about 679.3458270457.

Subtracting 313525404 from its reverse (404525313), we obtain a palindrome (90999909).

The spelling of 313525404 in words is "three hundred thirteen million, five hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 729 948 972 1361 1422 1458 2133 2722 2844 2916 4083 4266 5444 6399 8166 8532 12249 12798 16332 19197 24498 25596 36747 38394 48996 57591 73494 76788 107519 110241 115182 146988 215038 220482 230364 322557 330723 430076 440964 645114 661446 967671 992169 1290228 1322892 1935342 1984338 2903013 3870684 3968676 5806026 8709039 11612052 17418078 26127117 34836156 52254234 78381351 104508468 156762702 313525404