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2344407040 = 2125114473
BaseRepresentation
bin1000101110111100…
…1101000000000000
320001101102012212101
42023233031000000
514300132011130
61024344440144
7112045062643
oct21357150000
96041365771
102344407040
11aa33a1788
12555179054
132b4922901
1418350ba5a
15dac441ca
hex8bbcd000

2344407040 has 52 divisors (see below), whose sum is σ = 5625939204. Its totient is φ = 937754624.

The previous prime is 2344407031. The next prime is 2344407041. The reversal of 2344407040 is 407044432.

It can be written as a sum of positive squares in 2 ways, for example, as 1344835584 + 999571456 = 36672^2 + 31616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344407041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36757 + ... + 77716.

Almost surely, 22344407040 is an apocalyptic number.

2344407040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344407040 is an abundant number, since it is smaller than the sum of its proper divisors (3281532164).

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

2344407040 is an equidigital number, since it uses as much as digits as its factorization.

2344407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114502 (or 114480 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 2344407040 is about 48419.0772320167. The cubic root of 2344407040 is about 1328.4473259586.

The spelling of 2344407040 in words is "two billion, three hundred forty-four million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 114473 228946 457892 572365 915784 1144730 1831568 2289460 3663136 4578920 7326272 9157840 14652544 18315680 29305088 36631360 58610176 73262720 117220352 146525440 234440704 293050880 468881408 586101760 1172203520 2344407040