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31214304 = 25321159167
BaseRepresentation
bin111011100010…
…0101011100000
32011201211222100
41313010223200
530442324204
63033010400
7526213542
oct167045340
964654870
1031214304
111668a850
12a553a00
13660b904
144207692
152b18a39
hex1dc4ae0

31214304 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 9242880.

The previous prime is 31214291. The next prime is 31214317. The reversal of 31214304 is 40341213.

It is an interprime number because it is at equal distance from previous prime (31214291) and next prime (31214317).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186829 + ... + 186995.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 231214304 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 31214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

31214304 is an abundant number, since it is smaller than the sum of its proper divisors (67851936).

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

31214304 is a wasteful number, since it uses less digits than its factorization.

31214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31214304 is about 5586.9762841809. The cubic root of 31214304 is about 314.8602857353.

Adding to 31214304 its reverse (40341213), we get a palindrome (71555517).

The spelling of 31214304 in words is "thirty-one million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 66 72 88 96 99 118 132 144 167 176 177 198 236 264 288 334 352 354 396 472 501 528 531 649 668 708 792 944 1002 1056 1062 1298 1336 1416 1503 1584 1837 1888 1947 2004 2124 2596 2672 2832 3006 3168 3674 3894 4008 4248 5192 5344 5511 5664 5841 6012 7348 7788 8016 8496 9853 10384 11022 11682 12024 14696 15576 16032 16533 16992 19706 20768 22044 23364 24048 29392 29559 31152 33066 39412 44088 46728 48096 58784 59118 62304 66132 78824 88176 88677 93456 108383 118236 132264 157648 176352 177354 186912 216766 236472 264528 315296 325149 354708 433532 472944 529056 650298 709416 867064 945888 975447 1300596 1418832 1734128 1950894 2601192 2837664 3468256 3901788 5202384 7803576 10404768 15607152 31214304