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2974364192 = 253123112
BaseRepresentation
bin1011000101001001…
…0011001000100000
321200021210100121202
42301102103020200
522042414123232
61211050540332
7133464451502
oct26122231040
97607710552
102974364192
111296a50928
126b01376a8
133852a9b17
14203051d72
151261cd162
hexb1493220

2974364192 has 54 divisors (see below), whose sum is σ = 6070287447. Its totient is φ = 1434580800.

The previous prime is 2974364171. The next prime is 2974364213. The reversal of 2974364192 is 2914634792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2974364171) and next prime (2974364213).

It can be written as a sum of positive squares in only one way, i.e., 1487182096 + 1487182096 = 38564^2 + 38564^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=38564.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9563717 + ... + 9564027.

Almost surely, 22974364192 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 2974364192

2974364192 is an abundant number, since it is smaller than the sum of its proper divisors (3095923255).

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

2974364192 is an frugal number, since it uses more digits than its factorization.

2974364192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 344 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 2974364192 is about 54537.7318193560. The cubic root of 2974364192 is about 1438.1296757161.

The spelling of 2974364192 in words is "two billion, nine hundred seventy-four million, three hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 311 496 622 961 992 1244 1922 2488 3844 4976 7688 9641 9952 15376 19282 30752 38564 77128 96721 154256 193442 298871 308512 386884 597742 773768 1195484 1547536 2390968 2998351 3095072 4781936 5996702 9563872 11993404 23986808 47973616 92948881 95947232 185897762 371795524 743591048 1487182096 2974364192