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103834400 = 2552129793
BaseRepresentation
bin1100011000001…
…10001100100000
321020101100000112
412030012030200
5203040200100
614145310452
72400402125
oct614061440
9236340015
10103834400
115368035a
122a935428
1318686b97
14db0c74c
1591b0b35
hex6306320

103834400 has 36 divisors (see below), whose sum is σ = 253487682. Its totient is φ = 41533440.

The previous prime is 103834387. The next prime is 103834417. The reversal of 103834400 is 4438301.

It can be written as a sum of positive squares in 3 ways, for example, as 92083216 + 11751184 = 9596^2 + 3428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64097 + ... + 65696.

Almost surely, 2103834400 is an apocalyptic number.

103834400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103834400 is an abundant number, since it is smaller than the sum of its proper divisors (149653282).

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

103834400 is a wasteful number, since it uses less digits than its factorization.

103834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129813 (or 129800 counting only the distinct ones).

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

The square root of 103834400 is about 10189.9165845457. The cubic root of 103834400 is about 470.0172017244.

The spelling of 103834400 in words is "one hundred three million, eight hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 129793 259586 519172 648965 1038344 1297930 2076688 2595860 3244825 4153376 5191720 6489650 10383440 12979300 20766880 25958600 51917200 103834400