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313998944 = 25723591033
BaseRepresentation
bin10010101101110…
…011111001100000
3210212211210120112
4102231303321200
51120340431234
651054030452
710531642550
oct2255637140
9725753515
10313998944
11151276066
12891a8428
135008c8bc
142d9b9160
151c876ace
hex12b73e60

313998944 has 96 divisors (see below), whose sum is σ = 750435840. Its totient is φ = 126415872.

The previous prime is 313998929. The next prime is 313998953. The reversal of 313998944 is 449899313.

It is a junction number, because it is equal to n+sod(n) for n = 313998892 and 313998901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303452 + ... + 304484.

It is an arithmetic number, because the mean of its divisors is an integer number (7817040).

Almost surely, 2313998944 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 313998944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375217920).

313998944 is an abundant number, since it is smaller than the sum of its proper divisors (436436896).

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

313998944 is a wasteful number, since it uses less digits than its factorization.

313998944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its digits is 839808, while the sum is 50.

The square root of 313998944 is about 17720.0153498805. The cubic root of 313998944 is about 679.6876766413.

The spelling of 313998944 in words is "three hundred thirteen million, nine hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 59 92 112 118 161 184 224 236 322 368 413 472 644 736 826 944 1033 1288 1357 1652 1888 2066 2576 2714 3304 4132 5152 5428 6608 7231 8264 9499 10856 13216 14462 16528 18998 21712 23759 28924 33056 37996 43424 47518 57848 60947 75992 95036 115696 121894 151984 166313 190072 231392 243788 303968 332626 380144 426629 487576 665252 760288 853258 975152 1330504 1401781 1706516 1950304 2661008 2803562 3413032 5322016 5607124 6826064 9812467 11214248 13652128 19624934 22428496 39249868 44856992 78499736 156999472 313998944