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319760112 = 2437979811
BaseRepresentation
bin10011000011110…
…010011011110000
3211021200111102010
4103003302123300
51123324310422
651421322520
710631626140
oct2303623360
9737614363
10319760112
11154550561
128b106440
1351328c89
1430678920
151d113b0c
hex130f26f0

319760112 has 80 divisors (see below), whose sum is σ = 953883392. Its totient is φ = 90408960.

The previous prime is 319760069. The next prime is 319760131. The reversal of 319760112 is 211067913.

It is a self number, because there is not a number n which added to its sum of digits gives 319760112.

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, 27687 + ... + 37497.

Almost surely, 2319760112 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 319760112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476941696).

319760112 is an abundant number, since it is smaller than the sum of its proper divisors (634123280).

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

319760112 is a wasteful number, since it uses less digits than its factorization.

319760112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 319760112 is about 17881.8374894752. The cubic root of 319760112 is about 683.8194181476.

The spelling of 319760112 in words is "three hundred nineteen million, seven hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 9811 10864 16296 19622 29433 32592 39244 58866 68677 78488 117732 137354 156976 206031 235464 274708 412062 470928 549416 824124 951667 1098832 1648248 1903334 2855001 3296496 3806668 5710002 6661669 7613336 11420004 13323338 15226672 19985007 22840008 26646676 39970014 45680016 53293352 79940028 106586704 159880056 319760112