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314098344 = 23337293709
BaseRepresentation
bin10010101110001…
…100001010101000
3210220000211221000
4102232030022220
51120402121334
651100115000
710532535420
oct2256141250
9726024830
10314098344
1115133380a
1289235a60
13500c5c11
142da03480
151c896299
hex12b8c2a8

314098344 has 128 divisors (see below), whose sum is σ = 1001952000. Its totient is φ = 89309952.

The previous prime is 314098339. The next prime is 314098357. The reversal of 314098344 is 443890413.

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 = 314098299 and 314098308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442662 + ... + 443370.

It is an arithmetic number, because the mean of its divisors is an integer number (7827750).

Almost surely, 2314098344 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 314098344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500976000).

314098344 is an abundant number, since it is smaller than the sum of its proper divisors (687853656).

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

314098344 is a wasteful number, since it uses less digits than its factorization.

314098344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 314098344 is about 17722.8198659243. The cubic root of 314098344 is about 679.7593900749.

The spelling of 314098344 in words is "three hundred fourteen million, ninety-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 293 378 504 586 709 756 879 1172 1418 1512 1758 2051 2127 2344 2637 2836 3516 4102 4254 4963 5274 5672 6153 6381 7032 7911 8204 8508 9926 10548 12306 12762 14889 15822 16408 17016 18459 19143 19852 21096 24612 25524 29778 31644 36918 38286 39704 44667 49224 51048 55377 59556 63288 73836 76572 89334 110754 119112 134001 147672 153144 178668 207737 221508 268002 357336 415474 443016 536004 623211 830948 1072008 1246422 1454159 1661896 1869633 2492844 2908318 3739266 4362477 4985688 5608899 5816636 7478532 8724954 11217798 11633272 13087431 14957064 17449908 22435596 26174862 34899816 39262293 44871192 52349724 78524586 104699448 157049172 314098344