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31402944 = 2633171069
BaseRepresentation
bin111011111001…
…0101111000000
32012002102202000
41313302233000
531014343234
63041024000
7530630526
oct167625700
965072660
1031402944
11167a9551
12a625000
136676731
144256316
152b54899
hex1df2bc0

31402944 has 112 divisors (see below), whose sum is σ = 97840800. Its totient is φ = 9842688.

The previous prime is 31402939. The next prime is 31402979. The reversal of 31402944 is 44920413.

It is a super-2 number, since 2×314029442 = 1972289783734272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 28842 + ... + 29910.

Almost surely, 231402944 is an apocalyptic number.

31402944 is a gapful number since it is divisible by the number (34) 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 31402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48920400).

31402944 is an abundant number, since it is smaller than the sum of its proper divisors (66437856).

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

31402944 is a wasteful number, since it uses less digits than its factorization.

31402944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31402944 is about 5603.8329739563. The cubic root of 31402944 is about 315.4932860738.

It can be divided in two parts, 3140 and 2944, that added together give a square (6084 = 782).

The spelling of 31402944 in words is "thirty-one million, four hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1069 1088 1224 1632 1728 1836 2138 2448 3207 3264 3672 4276 4896 6414 7344 8552 9621 9792 12828 14688 17104 18173 19242 25656 28863 29376 34208 36346 38484 51312 54519 57726 68416 72692 76968 102624 109038 115452 145384 153936 163557 205248 218076 230904 290768 307872 327114 436152 461808 490671 581536 615744 654228 872304 923616 981342 1163072 1308456 1744608 1847232 1962684 2616912 3489216 3925368 5233824 7850736 10467648 15701472 31402944