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14304100 = 2252313457
BaseRepresentation
bin110110100100…
…001101100100
3222220201112111
4312210031210
512130212400
61230330404
7232403626
oct66441544
928821474
1014304100
11808a978
124959a04
132c6a985
141c84c16
1513c83ba
hexda4364

14304100 has 36 divisors (see below), whose sum is σ = 31207204. Its totient is φ = 5690880.

The previous prime is 14304097. The next prime is 14304107. The reversal of 14304100 is 140341.

It can be written as a sum of positive squares in 6 ways, for example, as 1170724 + 13133376 = 1082^2 + 3624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31072 + ... + 31528.

Almost surely, 214304100 is an apocalyptic number.

14304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14304100 is an abundant number, since it is smaller than the sum of its proper divisors (16903104).

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

14304100 is a wasteful number, since it uses less digits than its factorization.

14304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14304100 is about 3782.0761494185. The cubic root of 14304100 is about 242.7467994358.

Adding to 14304100 its reverse (140341), we get a palindrome (14444441).

The spelling of 14304100 in words is "fourteen million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 457 626 914 1252 1565 1828 2285 3130 4570 6260 7825 9140 11425 15650 22850 31300 45700 143041 286082 572164 715205 1430410 2860820 3576025 7152050 14304100