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2314134432 = 25329782837
BaseRepresentation
bin1000100111101110…
…1110001110100000
312222021110012122200
42021323232032200
514214404300212
61021343533200
7111226550421
oct21173561640
95867405580
102314134432
11a882a54a5
12546bba200
132ab58381c
1417d4ab648
15d82646dc
hex89eee3a0

2314134432 has 72 divisors (see below), whose sum is σ = 6648743556. Its totient is φ = 763416576.

The previous prime is 2314134421. The next prime is 2314134451. The reversal of 2314134432 is 2344314132.

2314134432 is a `hidden beast` number, since 2 + 314 + 1 + 344 + 3 + 2 = 666.

2314134432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1953286416 + 360848016 = 44196^2 + 18996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2314134396 and 2314134405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13483 + ... + 69354.

Almost surely, 22314134432 is an apocalyptic number.

It is an amenable number.

2314134432 is an abundant number, since it is smaller than the sum of its proper divisors (4334609124).

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

2314134432 is a wasteful number, since it uses less digits than its factorization.

2314134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82950 (or 82939 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2314134432 is about 48105.4511672014. The cubic root of 2314134432 is about 1322.7045924259.

Adding to 2314134432 its reverse (2344314132), we get a palindrome (4658448564).

The spelling of 2314134432 in words is "two billion, three hundred fourteen million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 82837 165674 248511 331348 497022 662696 745533 994044 1325392 1491066 1988088 2650784 2982132 3976176 5964264 7952352 8035189 11928528 16070378 23857056 24105567 32140756 48211134 64281512 72316701 96422268 128563024 144633402 192844536 257126048 289266804 385689072 578533608 771378144 1157067216 2314134432