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319131372 = 223719414877
BaseRepresentation
bin10011000001011…
…000111011101100
3211020111112221110
4103001120323230
51123144200442
651400032020
710623400110
oct2301307354
9736445843
10319131372
1115416113a
128aa62610
1351168a41
1430553740
151d03c69c
hex13058eec

319131372 has 96 divisors (see below), whose sum is σ = 917844480. Its totient is φ = 84257280.

The previous prime is 319131349. The next prime is 319131409. The reversal of 319131372 is 273131913.

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, 62998 + ... + 67874.

It is an arithmetic number, because the mean of its divisors is an integer number (9560880).

Almost surely, 2319131372 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 319131372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458922240).

319131372 is an abundant number, since it is smaller than the sum of its proper divisors (598713108).

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

319131372 is a wasteful number, since it uses less digits than its factorization.

319131372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4949 counting only the distinct ones).

The product of its digits is 3402, while the sum is 30.

The square root of 319131372 is about 17864.2484308744. The cubic root of 319131372 is about 683.3709290968.

The spelling of 319131372 in words is "three hundred nineteen million, one hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 76 82 84 114 123 133 164 228 246 266 287 399 492 532 574 779 798 861 1148 1558 1596 1722 2337 3116 3444 4674 4877 5453 9348 9754 10906 14631 16359 19508 21812 29262 32718 34139 58524 65436 68278 92663 102417 136556 185326 199957 204834 277989 370652 399914 409668 555978 599871 648641 799828 1111956 1199742 1297282 1399699 1945923 2399484 2594564 2799398 3799183 3891846 4199097 5598796 7598366 7783692 8398194 11397549 15196732 16796388 22795098 26594281 45590196 53188562 79782843 106377124 159565686 319131372