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2331730944 = 210325032
BaseRepresentation
bin1000101011111011…
…0110010000000000
320000111120012112100
42022332312100000
514233410342234
61023213030400
7111532246254
oct21276662000
96014505470
102331730944
11a97223a74
12550a85400
132b2104c6a
1418196c264
15d9a8d399
hex8afb6400

2331730944 has 99 divisors (see below), whose sum is σ = 6746234443. Its totient is φ = 775698432.

The previous prime is 2331730913. The next prime is 2331730979. The reversal of 2331730944 is 4490371332.

The square root of 2331730944 is 48288.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×23317309442 = 10873938390414262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2331730899 and 2331730908.

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 8 ways as a sum of consecutive naturals, for example, 4635397 + ... + 4635899.

Almost surely, 22331730944 is an apocalyptic number.

2331730944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2331730944 is the 48288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331730944

2331730944 is an abundant number, since it is smaller than the sum of its proper divisors (4414503499).

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

2331730944 is an frugal number, since it uses more digits than its factorization.

2331730944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The cubic root of 2331730944 is about 1326.0487141116.

Multiplying 2331730944 by its sum of digits (36), we get a square (83942313984 = 2897282).

2331730944 divided by its sum of digits (36) gives a square (64770304 = 80482).

The spelling of 2331730944 in words is "two billion, three hundred thirty-one million, seven hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 503 512 576 768 1006 1024 1152 1509 1536 2012 2304 3018 3072 4024 4527 4608 6036 8048 9054 9216 12072 16096 18108 24144 32192 36216 48288 64384 72432 96576 128768 144864 193152 253009 257536 289728 386304 506018 515072 579456 759027 772608 1012036 1158912 1518054 1545216 2024072 2277081 2317824 3036108 4048144 4554162 4635648 6072216 8096288 9108324 12144432 16192576 18216648 24288864 32385152 36433296 48577728 64770304 72866592 97155456 129540608 145733184 194310912 259081216 291466368 388621824 582932736 777243648 1165865472 2331730944