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3140390792 = 2372114316937
BaseRepresentation
bin1011101100101110…
…1000111110001000
322002212012101022002
42323023220332020
522412420001132
61235341250132
7140551611200
oct27313507610
98085171262
103140390792
11137173a0a0
12737863948
133b07ca706
1421b10d400
15135a76262
hexbb2e8f88

3140390792 has 96 divisors (see below), whose sum is σ = 7646490720. Its totient is φ = 1195004160.

The previous prime is 3140390791. The next prime is 3140390833. The reversal of 3140390792 is 2970930413.

It is not an unprimeable number, because it can be changed into a prime (3140390791) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176948 + ... + 193884.

It is an arithmetic number, because the mean of its divisors is an integer number (79650945).

Almost surely, 23140390792 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 3140390792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823245360).

3140390792 is an abundant number, since it is smaller than the sum of its proper divisors (4506099928).

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

3140390792 is a wasteful number, since it uses less digits than its factorization.

3140390792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 17000 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 3140390792 is about 56039.1897871481. The cubic root of 3140390792 is about 1464.4050968215.

The spelling of 3140390792 in words is "three billion, one hundred forty million, three hundred ninety thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 49 56 77 86 88 98 154 172 196 301 308 344 392 473 539 602 616 946 1078 1204 1892 2107 2156 2408 3311 3784 4214 4312 6622 8428 13244 16856 16937 23177 26488 33874 46354 67748 92708 118559 135496 185416 186307 237118 372614 474236 728291 745228 829913 948472 1304149 1456582 1490456 1659826 2608298 2913164 3319652 5098037 5216596 5826328 6639304 8011201 9129043 10196074 10433192 16022402 18258086 20392148 32044804 35686259 36516172 40784296 56078407 64089608 71372518 73032344 112156814 142745036 224313628 285490072 392548849 448627256 785097698 1570195396 3140390792