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319239872 = 26717167251
BaseRepresentation
bin10011000001110…
…011011011000000
3211020201001202222
4103001303123000
51123211133442
651402230212
710624331330
oct2301633300
9736631688
10319239872
11154225706
128aab5368
13511a6243
14305810c0
151d05e8d2
hex130736c0

319239872 has 112 divisors (see below), whose sum is σ = 774240768. Its totient is φ = 127488000.

The previous prime is 319239797. The next prime is 319239911. The reversal of 319239872 is 278932913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1271747 + ... + 1271997.

It is an arithmetic number, because the mean of its divisors is an integer number (6912864).

Almost surely, 2319239872 is an apocalyptic number.

319239872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387120384).

319239872 is an abundant number, since it is smaller than the sum of its proper divisors (455000896).

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

319239872 is a wasteful number, since it uses less digits than its factorization.

319239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 319239872 is about 17867.2849644259. The cubic root of 319239872 is about 683.4483656962.

The spelling of 319239872 in words is "three hundred nineteen million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 167 224 238 251 272 334 448 476 502 544 668 952 1004 1088 1169 1336 1757 1904 2008 2338 2672 2839 3514 3808 4016 4267 4676 5344 5678 7028 7616 8032 8534 9352 10688 11356 14056 16064 17068 18704 19873 22712 28112 29869 34136 37408 39746 41917 45424 56224 59738 68272 74816 79492 83834 90848 112448 119476 136544 158984 167668 181696 238952 273088 293419 317968 335336 477904 586838 635936 670672 712589 955808 1173676 1271872 1341344 1425178 1911616 2347352 2682688 2850356 4694704 4988123 5700712 9389408 9976246 11401424 18778816 19952492 22802848 39904984 45605696 79809968 159619936 319239872