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31339392 = 273789131
BaseRepresentation
bin111011110001…
…1001110000000
32011222012120020
41313203032000
531010330032
63035413440
7530244330
oct167431600
964865506
1031339392
1116765827
12a5b4280
136653826
14423b0c0
152b40b2c
hex1de3380

31339392 has 128 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 8785920.

The previous prime is 31339369. The next prime is 31339397. The reversal of 31339392 is 29393313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31339397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239167 + ... + 239297.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 231339392 is an apocalyptic number.

31339392 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 31339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

31339392 is an abundant number, since it is smaller than the sum of its proper divisors (65601408).

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

31339392 is a wasteful number, since it uses less digits than its factorization.

31339392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 13122, while the sum is 33.

The square root of 31339392 is about 5598.1596976149. The cubic root of 31339392 is about 315.2803148510.

The spelling of 31339392 in words is "thirty-one million, three hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 131 168 178 192 224 262 267 336 356 384 393 448 524 534 623 672 712 786 896 917 1048 1068 1246 1344 1424 1572 1834 1869 2096 2136 2492 2688 2751 2848 3144 3668 3738 4192 4272 4984 5502 5696 6288 7336 7476 8384 8544 9968 11004 11392 11659 12576 14672 14952 16768 17088 19936 22008 23318 25152 29344 29904 34176 34977 39872 44016 46636 50304 58688 59808 69954 79744 81613 88032 93272 117376 119616 139908 163226 176064 186544 239232 244839 279816 326452 352128 373088 489678 559632 652904 746176 979356 1119264 1305808 1492352 1958712 2238528 2611616 3917424 4477056 5223232 7834848 10446464 15669696 31339392