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2923680432 = 243313895051
BaseRepresentation
bin1010111001000011…
…1101001010110000
321112202102100120110
42232100331022300
521441430233212
61202040341320
7132310605441
oct25620751260
97482370513
102923680432
111270383422
12697174840
1337794242a
141da41b2c8
15121a1aa3c
hexae43d2b0

2923680432 has 80 divisors (see below), whose sum is σ = 7818071040. Its totient is φ = 940512000.

The previous prime is 2923680391. The next prime is 2923680437. The reversal of 2923680432 is 2340863292.

It is not an unprimeable number, because it can be changed into a prime (2923680437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576307 + ... + 581357.

It is an arithmetic number, because the mean of its divisors is an integer number (97725888).

Almost surely, 22923680432 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 2923680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909035520).

2923680432 is an abundant number, since it is smaller than the sum of its proper divisors (4894390608).

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

2923680432 is a wasteful number, since it uses less digits than its factorization.

2923680432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2923680432 is about 54071.0683452805. The cubic root of 2923680432 is about 1429.9141604952.

The spelling of 2923680432 in words is "two billion, nine hundred twenty-three million, six hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 389 496 744 778 1167 1488 1556 2334 3112 4668 5051 6224 9336 10102 12059 15153 18672 20204 24118 30306 36177 40408 48236 60612 72354 80816 96472 121224 144708 156581 192944 242448 289416 313162 469743 578832 626324 939486 1252648 1878972 1964839 2505296 3757944 3929678 5894517 7515888 7859356 11789034 15718712 23578068 31437424 47156136 60910009 94312272 121820018 182730027 243640036 365460054 487280072 730920108 974560144 1461840216 2923680432