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3107479464 = 23345390481
BaseRepresentation
bin1011100100111000…
…0101111110101000
322000120021022110000
42321032011332220
522331003320324
61232204023000
7140002065615
oct27116057650
98016238400
103107479464
111355100351
12728831a60
133a6a4655b
142169c350c
15132c249c9
hexb9385fa8

3107479464 has 80 divisors (see below), whose sum is σ = 8868140820. Its totient is φ = 1016271360.

The previous prime is 3107479451. The next prime is 3107479477. The reversal of 3107479464 is 4649747013.

It is an interprime number because it is at equal distance from previous prime (3107479451) and next prime (3107479477).

It can be written as a sum of positive squares in 2 ways, for example, as 3051678564 + 55800900 = 55242^2 + 7470^2 .

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 19 ways as a sum of consecutive naturals, for example, 10897 + ... + 79584.

Almost surely, 23107479464 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 3107479464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434070410).

3107479464 is an abundant number, since it is smaller than the sum of its proper divisors (5760661356).

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

3107479464 is a wasteful number, since it uses less digits than its factorization.

3107479464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90552 (or 90539 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3107479464 is about 55744.7707323297. The cubic root of 3107479464 is about 1459.2714611276.

The spelling of 3107479464 in words is "three billion, one hundred seven million, four hundred seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 17172 34344 90481 180962 271443 361924 542886 723848 814329 1085772 1628658 2171544 2442987 3257316 4795493 4885974 6514632 7328961 9590986 9771948 14386479 14657922 19181972 19543896 28772958 29315844 38363944 43159437 57545916 58631688 86318874 115091832 129478311 172637748 258956622 345275496 388434933 517913244 776869866 1035826488 1553739732 3107479464