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313463424 = 2733492339
BaseRepresentation
bin10010101011110…
…001001010000000
3210211211120222110
4102223301022000
51120221312144
651034335320
710524252351
oct2253611200
9724746873
10313463424
11150a3a78a
1288b8a540
134cc32c21
142d8b9d28
151c7bd0b9
hex12af1280

313463424 has 64 divisors (see below), whose sum is σ = 835380000. Its totient is φ = 104143872.

The previous prime is 313463419. The next prime is 313463441. The reversal of 313463424 is 424364313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313463391 and 313463400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132847 + ... + 135185.

Almost surely, 2313463424 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 313463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417690000).

313463424 is an abundant number, since it is smaller than the sum of its proper divisors (521916576).

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

313463424 is a wasteful number, since it uses less digits than its factorization.

313463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2693 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 313463424 is about 17704.8983052713. The cubic root of 313463424 is about 679.3010580746.

The spelling of 313463424 in words is "three hundred thirteen million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 349 384 698 1047 1396 2094 2339 2792 4188 4678 5584 7017 8376 9356 11168 14034 16752 18712 22336 28068 33504 37424 44672 56136 67008 74848 112272 134016 149696 224544 299392 449088 816311 898176 1632622 2448933 3265244 4897866 6530488 9795732 13060976 19591464 26121952 39182928 52243904 78365856 104487808 156731712 313463424