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10342054400 = 2952807973
BaseRepresentation
bin10011010000110111…
…10011101000000000
3222200202101210112212
421220123303220000
5132140031220100
64430122041252
7514200004046
oct115033635000
928622353485
1010342054400
1144279025a7
122007649228
13c8a820c22
14701762396
15407e27635
hex2686f3a00

10342054400 has 60 divisors (see below), whose sum is σ = 25623279462. Its totient is φ = 4136816640.

The previous prime is 10342054381. The next prime is 10342054403. The reversal of 10342054400 is 445024301.

It can be written as a sum of positive squares in 3 ways, for example, as 9907415296 + 434639104 = 99536^2 + 20848^2 .

It is not an unprimeable number, because it can be changed into a prime (10342054403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391187 + ... + 416786.

Almost surely, 210342054400 is an apocalyptic number.

10342054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342054400 is an abundant number, since it is smaller than the sum of its proper divisors (15281225062).

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

10342054400 is an frugal number, since it uses more digits than its factorization.

10342054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808001 (or 807980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 10342054400 its reverse (445024301), we get a palindrome (10787078701).

The spelling of 10342054400 in words is "ten billion, three hundred forty-two million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 807973 1615946 3231892 4039865 6463784 8079730 12927568 16159460 20199325 25855136 32318920 40398650 51710272 64637840 80797300 103420544 129275680 161594600 206841088 258551360 323189200 413682176 517102720 646378400 1034205440 1292756800 2068410880 2585513600 5171027200 10342054400