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31004040 = 2335892903
BaseRepresentation
bin111011001000…
…1010110001000
32011100011112210
41312101112020
530414112130
63024305120
7524346534
oct166212610
964304483
1031004040
1116556881
12a4721a0
136566cb2
144190bc4
152ac65b0
hex1d91588

31004040 has 64 divisors (see below), whose sum is σ = 94089600. Its totient is φ = 8172032.

The previous prime is 31004027. The next prime is 31004041. The reversal of 31004040 is 4040013.

It is a super-2 number, since 2×310040402 = 1922500992643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31004041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9229 + ... + 12131.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 231004040 is an apocalyptic number.

31004040 is a gapful number since it is divisible by the number (30) 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 31004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044800).

31004040 is an abundant number, since it is smaller than the sum of its proper divisors (63085560).

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

31004040 is a wasteful number, since it uses less digits than its factorization.

31004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31004040 is about 5568.1271537205. The cubic root of 31004040 is about 314.1517110741.

Adding to 31004040 its reverse (4040013), we get a palindrome (35044053).

It can be divided in two parts, 3100 and 4040, that added together give a triangular number (7140 = T119).

The spelling of 31004040 in words is "thirty-one million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 2903 3560 5340 5806 8709 10680 11612 14515 17418 23224 29030 34836 43545 58060 69672 87090 116120 174180 258367 348360 516734 775101 1033468 1291835 1550202 2066936 2583670 3100404 3875505 5167340 6200808 7751010 10334680 15502020 31004040