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31942944 = 2533113361
BaseRepresentation
bin111100111011…
…0100100100000
32020002212111000
41321312210200
531134133234
63100352000
7535340055
oct171664440
966085430
1031942944
1117038230
12a845600
136805467
14435702c
152c0e899
hex1e76920

31942944 has 96 divisors (see below), whose sum is σ = 101666880. Its totient is φ = 9676800.

The previous prime is 31942921. The next prime is 31942969. The reversal of 31942944 is 44924913.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31942899 and 31942908.

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, 7824 + ... + 11184.

It is an arithmetic number, because the mean of its divisors is an integer number (1059030).

Almost surely, 231942944 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 31942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50833440).

31942944 is an abundant number, since it is smaller than the sum of its proper divisors (69723936).

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

31942944 is a wasteful number, since it uses less digits than its factorization.

31942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3377 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 31942944 is about 5651.8089139673. The cubic root of 31942944 is about 317.2914090665.

The spelling of 31942944 in words is "thirty-one million, nine hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 3361 4752 6722 9504 10083 13444 20166 26888 30249 36971 40332 53776 60498 73942 80664 90747 107552 110913 120996 147884 161328 181494 221826 241992 295768 322656 332739 362988 443652 483984 591536 665478 725976 887304 967968 998217 1183072 1330956 1451952 1774608 1996434 2661912 2903904 3549216 3992868 5323824 7985736 10647648 15971472 31942944