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2974350464 = 27171366889
BaseRepresentation
bin1011000101001000…
…1111110010000000
321200021202122210022
42301102033302000
522042413203324
61211050353012
7133464363461
oct26122176200
97607678708
102974350464
111296a41588
126b012b768
133852a37b7
1420304ad68
151261c905e
hexb148fc80

2974350464 has 32 divisors (see below), whose sum is σ = 6274025100. Its totient is φ = 1399693312.

The previous prime is 2974350439. The next prime is 2974350517. The reversal of 2974350464 is 4640534792.

It can be written as a sum of positive squares in 2 ways, for example, as 2829388864 + 144961600 = 53192^2 + 12040^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 681269 + ... + 685620.

Almost surely, 22974350464 is an apocalyptic number.

It is an amenable number.

2974350464 is an abundant number, since it is smaller than the sum of its proper divisors (3299674636).

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

2974350464 is a wasteful number, since it uses less digits than its factorization.

2974350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366920 (or 1366908 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 2974350464 is about 54537.6059613914. The cubic root of 2974350464 is about 1438.1274631789.

The spelling of 2974350464 in words is "two billion, nine hundred seventy-four million, three hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 1366889 2733778 5467556 10935112 21870224 23237113 43740448 46474226 87480896 92948452 174961792 185896904 371793808 743587616 1487175232 2974350464