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3130025344 = 27197118127
BaseRepresentation
bin1011101010010000…
…0110010110000000
322002010200202120121
42322210012112000
522402241302334
61234331150024
7140364530215
oct27244062600
98063622517
103130025344
1113668aa406
127342a5314
133ab60b704
142199b1b0c
15134bc9db4
hexba906580

3130025344 has 64 divisors (see below), whose sum is σ = 6656601600. Its totient is φ = 1461680640.

The previous prime is 3130025317. The next prime is 3130025383. The reversal of 3130025344 is 4435200313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163609 + ... + 181735.

It is an arithmetic number, because the mean of its divisors is an integer number (104009400).

Almost surely, 23130025344 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 3130025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328300800).

3130025344 is an abundant number, since it is smaller than the sum of its proper divisors (3526576256).

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

3130025344 is a wasteful number, since it uses less digits than its factorization.

3130025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18231 (or 18219 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3130025344 is about 55946.6294248367. The cubic root of 3130025344 is about 1462.7921397943.

Adding to 3130025344 its reverse (4435200313), we get a palindrome (7565225657).

It can be divided in two parts, 31300 and 25344, that added together give a square (56644 = 2382).

The spelling of 3130025344 in words is "three billion, one hundred thirty million, twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 284 304 568 608 1136 1216 1349 2272 2432 2698 4544 5396 9088 10792 18127 21584 36254 43168 72508 86336 145016 172672 290032 344413 580064 688826 1160128 1287017 1377652 2320256 2574034 2755304 5148068 5510608 10296136 11021216 20592272 22042432 24453323 41184544 44084864 48906646 82369088 97813292 164738176 195626584 391253168 782506336 1565012672 3130025344