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319669668 = 2232291272411
BaseRepresentation
bin10011000011011…
…100010110100100
3211021111220100100
4103003130112210
51123313412133
651415344100
710631101353
oct2303342644
9737456310
10319669668
1115449960a
128b082030
13512c6a66
143065399a
151d0e6e13
hex130dc5a4

319669668 has 72 divisors (see below), whose sum is σ = 842849280. Its totient is φ = 102029760.

The previous prime is 319669631. The next prime is 319669673. The reversal of 319669668 is 866966913.

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 23 ways as a sum of consecutive naturals, for example, 131383 + ... + 133793.

It is an arithmetic number, because the mean of its divisors is an integer number (11706240).

Almost surely, 2319669668 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 319669668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421424640).

319669668 is an abundant number, since it is smaller than the sum of its proper divisors (523179612).

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

319669668 is a wasteful number, since it uses less digits than its factorization.

319669668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2572 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 319669668 is about 17879.3083758852. The cubic root of 319669668 is about 683.7549393991.

The spelling of 319669668 in words is "three hundred nineteen million, six hundred sixty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 127 174 254 261 348 381 508 522 762 1044 1143 1524 2286 2411 3683 4572 4822 7233 7366 9644 11049 14466 14732 21699 22098 28932 33147 43398 44196 66294 69919 86796 132588 139838 209757 279676 306197 419514 612394 629271 839028 918591 1224788 1258542 1837182 2517084 2755773 3674364 5511546 8879713 11023092 17759426 26639139 35518852 53278278 79917417 106556556 159834834 319669668