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318319040 = 2651376519
BaseRepresentation
bin10010111110010…
…010100111000000
3211011222021122002
4102332102213000
51122442202130
651330403132
710613444564
oct2276224700
9734867562
10318319040
11153756896
128a7304a8
1350c43080
14303c16a4
151ce2bb45
hex12f929c0

318319040 has 56 divisors (see below), whose sum is σ = 816315360. Its totient is φ = 117531648.

The previous prime is 318319019. The next prime is 318319069. The reversal of 318319040 is 40913813.

It is a super-2 number, since 2×3183190402 = 202654022453043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318318994 and 318319012.

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 7 ways as a sum of consecutive naturals, for example, 34100 + ... + 42419.

It is an arithmetic number, because the mean of its divisors is an integer number (14577060).

Almost surely, 2318319040 is an apocalyptic number.

It is an amenable number.

318319040 is an abundant number, since it is smaller than the sum of its proper divisors (497996320).

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

318319040 is a wasteful number, since it uses less digits than its factorization.

318319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76549 (or 76539 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 318319040 is about 17841.4976949807. The cubic root of 318319040 is about 682.7906082608.

The spelling of 318319040 in words is "three hundred eighteen million, three hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 76519 153038 306076 382595 612152 765190 994747 1224304 1530380 1989494 2448608 3060760 3978988 4897216 4973735 6121520 7957976 9947470 12243040 15915952 19894940 24486080 31831904 39789880 63663808 79579760 159159520 318319040