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2723068944 = 243242894409
BaseRepresentation
bin1010001001001110…
…1011110000010000
321000202221020100100
42202103223300100
521034101201234
61130112452400
7124323463341
oct24223536020
97022836310
102723068944
111178113002
1263bb4a100
133452029cb
141bb91a0c8
1510e0e0399
hexa24ebc10

2723068944 has 60 divisors (see below), whose sum is σ = 7624316700. Its totient is φ = 907272192.

The previous prime is 2723068937. The next prime is 2723068963. The reversal of 2723068944 is 4498603272.

It can be written as a sum of positive squares in 2 ways, for example, as 1406250000 + 1316818944 = 37500^2 + 36288^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2723068944.

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 11 ways as a sum of consecutive naturals, for example, 615412 + ... + 619820.

It is an arithmetic number, because the mean of its divisors is an integer number (127071945).

Almost surely, 22723068944 is an apocalyptic number.

2723068944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2723068944 is an abundant number, since it is smaller than the sum of its proper divisors (4901247756).

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

2723068944 is a wasteful number, since it uses less digits than its factorization.

2723068944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2723068944 is about 52183.0331046404. The cubic root of 2723068944 is about 1396.4312069833.

The spelling of 2723068944 in words is "two billion, seven hundred twenty-three million, sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4289 4409 8578 8818 12867 13227 17156 17636 25734 26454 34312 35272 38601 39681 51468 52908 68624 70544 77202 79362 102936 105816 154404 158724 205872 211632 308808 317448 617616 634896 18910201 37820402 56730603 75640804 113461206 151281608 170191809 226922412 302563216 340383618 453844824 680767236 907689648 1361534472 2723068944