Search a number
-
+
3083148804 = 22323291512551
BaseRepresentation
bin1011011111000101…
…0001111000000100
321221212111012001110
42313301101320010
522303241230204
61225534325020
7136255222011
oct26761217004
97855435043
103083148804
1113423a236a
12720659770
133a19a7c08
1421368c708
15130a1a889
hexb7c51e04

3083148804 has 96 divisors (see below), whose sum is σ = 7820144640. Its totient is φ = 942480000.

The previous prime is 3083148799. The next prime is 3083148841. The reversal of 3083148804 is 4088413803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207329 + ... + 1209879.

It is an arithmetic number, because the mean of its divisors is an integer number (81459840).

Almost surely, 23083148804 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 3083148804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910072320).

3083148804 is an abundant number, since it is smaller than the sum of its proper divisors (4736995836).

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

3083148804 is a wasteful number, since it uses less digits than its factorization.

3083148804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 3083148804 is about 55526.1092099924. The cubic root of 3083148804 is about 1455.4529207234.

The spelling of 3083148804 in words is "three billion, eighty-three million, one hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 151 174 276 302 348 453 604 667 906 1334 1812 2001 2551 2668 3473 4002 4379 5102 6946 7653 8004 8758 10204 10419 13137 13892 15306 17516 20838 26274 30612 41676 52548 58673 73979 100717 117346 147958 176019 201434 221937 234692 295916 302151 352038 385201 402868 443874 604302 704076 770402 887748 1155603 1208604 1540804 1701517 2311206 3403034 4622412 5104551 6806068 8859623 10209102 11170829 17719246 20418204 22341658 26578869 33512487 35438492 44683316 53157738 67024974 106315476 134049948 256929067 513858134 770787201 1027716268 1541574402 3083148804