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104338400 = 2552130423
BaseRepresentation
bin1100011100000…
…01001111100000
321021022221101012
412032001033200
5203202312100
614204200052
72404601405
oct616011740
9237287335
10104338400
1153994a91
122ab39028
13188023ca
14dc002ac
159260135
hex63813e0

104338400 has 36 divisors (see below), whose sum is σ = 254718072. Its totient is φ = 41735040.

The previous prime is 104338393. The next prime is 104338411. The reversal of 104338400 is 4833401.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 64412 + ... + 66011.

It is an arithmetic number, because the mean of its divisors is an integer number (7075502).

Almost surely, 2104338400 is an apocalyptic number.

104338400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104338400 is an abundant number, since it is smaller than the sum of its proper divisors (150379672).

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

104338400 is a wasteful number, since it uses less digits than its factorization.

104338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130443 (or 130430 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 104338400 is about 10214.6169776453. The cubic root of 104338400 is about 470.7764440798.

The spelling of 104338400 in words is "one hundred four million, three hundred thirty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 130423 260846 521692 652115 1043384 1304230 2086768 2608460 3260575 4173536 5216920 6521150 10433840 13042300 20867680 26084600 52169200 104338400