Search a number
-
+
3120538368 = 28331131071
BaseRepresentation
bin1011100111111111…
…1010001100000000
322001110211202220010
42321333322030000
522342324211433
61233351544520
7140221065333
oct27177721400
98043752803
103120538368
11136150a732
1273108b140
133a966950c
1421862261a
15133e53e63
hexb9ffa300

3120538368 has 72 divisors (see below), whose sum is σ = 8573157376. Its totient is φ = 1006617600.

The previous prime is 3120538349. The next prime is 3120538427. The reversal of 3120538368 is 8638350213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41728 + ... + 89343.

Almost surely, 23120538368 is an apocalyptic number.

It is an amenable number.

3120538368 is an abundant number, since it is smaller than the sum of its proper divisors (5452619008).

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

3120538368 is a wasteful number, since it uses less digits than its factorization.

3120538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131121 (or 131107 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3120538368 is about 55861.7791338586. The cubic root of 3120538368 is about 1461.3127568571.

The spelling of 3120538368 in words is "three billion, one hundred twenty million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 131071 262142 393213 524284 786426 1048568 1572852 2097136 3145704 4063201 4194272 6291408 8126402 8388544 12189603 12582816 16252804 16777088 24379206 25165632 32505608 33554176 48758412 50331264 65011216 97516824 100662528 130022432 195033648 260044864 390067296 520089728 780134592 1040179456 1560269184 3120538368