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318805344 = 253211137741
BaseRepresentation
bin10011000000001…
…001010101100000
3211012212222201100
4103000021111200
51123103232334
651345034400
710620541434
oct2300112540
9735788640
10318805344
11153a591a0
128a925a00
1351083520
14304aa9c4
151cec5c99
hex13009560

318805344 has 144 divisors (see below), whose sum is σ = 1065237264. Its totient is φ = 89164800.

The previous prime is 318805307. The next prime is 318805367. The reversal of 318805344 is 443508813.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 318805299 and 318805308.

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, 37314 + ... + 45054.

It is an arithmetic number, because the mean of its divisors is an integer number (7397481).

Almost surely, 2318805344 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 318805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532618632).

318805344 is an abundant number, since it is smaller than the sum of its proper divisors (746431920).

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

318805344 is a wasteful number, since it uses less digits than its factorization.

318805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 318805344 is about 17855.1209461039. The cubic root of 318805344 is about 683.1381368041.

The spelling of 318805344 in words is "three hundred eighteen million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 7741 10296 13728 15482 20592 23223 30964 41184 46446 61928 69669 85151 92892 100633 123856 139338 170302 185784 201266 247712 255453 278676 301899 340604 371568 402532 510906 557352 603798 681208 743136 766359 805064 905697 1021812 1106963 1114704 1207596 1362416 1532718 1610128 1811394 2043624 2213926 2229408 2415192 2724832 3065436 3220256 3320889 3622788 4087248 4427852 4830384 6130872 6641778 7245576 8174496 8855704 9660768 9962667 12261744 13283556 14491152 17711408 19925334 24523488 26567112 28982304 35422816 39850668 53134224 79701336 106268448 159402672 318805344