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31090304 = 27724957
BaseRepresentation
bin111011010011…
…0011010000000
32011111112212202
41312212122000
530424342204
63030212332
7525156200
oct166463200
964445782
1031090304
1116605673
12a4b40a8
13659733b
1441b4400
152ae1e1e
hex1da6680

31090304 has 48 divisors (see below), whose sum is σ = 72064530. Its totient is φ = 13321728.

The previous prime is 31090271. The next prime is 31090309. The reversal of 31090304 is 40309013.

It can be written as a sum of positive squares in only one way, i.e., 21603904 + 9486400 = 4648^2 + 3080^2 .

It is not an unprimeable number, because it can be changed into a prime (31090309) 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 5 ways as a sum of consecutive naturals, for example, 3794 + ... + 8750.

Almost surely, 231090304 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 31090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36032265).

31090304 is an abundant number, since it is smaller than the sum of its proper divisors (40974226).

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

31090304 is an equidigital number, since it uses as much as digits as its factorization.

31090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 31090304 is about 5575.8680041766. The cubic root of 31090304 is about 314.4428009679.

Adding to 31090304 its reverse (40309013), we get a palindrome (71399317).

The spelling of 31090304 in words is "thirty-one million, ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4957 6272 9914 19828 34699 39656 69398 79312 138796 158624 242893 277592 317248 485786 555184 634496 971572 1110368 1943144 2220736 3886288 4441472 7772576 15545152 31090304