Search a number
-
+
10342714400 = 255212928393
BaseRepresentation
bin10011010000111100…
…10100110000100000
3222200210122022220022
421220132110300200
5132140213330100
64430144133012
7514205423204
oct115036246040
928623568808
1010342714400
114428213457
122007907168
13c8a9c2465
14701894b04
15408007e85
hex268794c20

10342714400 has 36 divisors (see below), whose sum is σ = 25249153482. Its totient is φ = 4137085440.

The previous prime is 10342714399. The next prime is 10342714427. The reversal of 10342714400 is 441724301.

It can be written as a sum of positive squares in 3 ways, for example, as 7893256336 + 2449458064 = 88844^2 + 49492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10342714400.

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 5 ways as a sum of consecutive naturals, for example, 6463397 + ... + 6464996.

Almost surely, 210342714400 is an apocalyptic number.

10342714400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342714400 is an abundant number, since it is smaller than the sum of its proper divisors (14906439082).

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

10342714400 is a wasteful number, since it uses less digits than its factorization.

10342714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928413 (or 12928400 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Subtracting from 10342714400 its reverse (441724301), we obtain a palindrome (9900990099).

The spelling of 10342714400 in words is "ten billion, three hundred forty-two million, seven hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12928393 25856786 51713572 64641965 103427144 129283930 206854288 258567860 323209825 413708576 517135720 646419650 1034271440 1292839300 2068542880 2585678600 5171357200 10342714400