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319016214 = 23211612433
BaseRepresentation
bin10011000000111…
…100110100010110
3211020021200222100
4103000330310112
51123132004324
651353342530
710622410266
oct2300746426
9736250870
10319016214
11154092670
128aa07a46
13511284ba
14305237a6
151d0184c9
hex1303cd16

319016214 has 72 divisors (see below), whose sum is σ = 768372696. Its totient is φ = 94867200.

The previous prime is 319016197. The next prime is 319016221. The reversal of 319016214 is 412610913.

319016214 is a `hidden beast` number, since 31 + 9 + 0 + 1 + 621 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 736542 + ... + 736974.

It is an arithmetic number, because the mean of its divisors is an integer number (10671843).

Almost surely, 2319016214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319016214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384186348).

319016214 is an abundant number, since it is smaller than the sum of its proper divisors (449356482).

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

319016214 is a wasteful number, since it uses less digits than its factorization.

319016214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 319016214 is about 17861.0249985828. The cubic root of 319016214 is about 683.2887214712.

The spelling of 319016214 in words is "three hundred nineteen million, sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 433 549 671 866 1098 1299 1342 2013 2598 3721 3897 4026 4763 6039 7442 7794 9526 11163 12078 14289 22326 26413 28578 33489 40931 42867 52826 66978 79239 81862 85734 122793 158478 237717 245586 290543 368379 475434 581086 736758 871629 1611193 1743258 2614887 3222386 4833579 5229774 9667158 14500737 17723123 29001474 35446246 53169369 106338738 159508107 319016214