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103244400 = 243252717241
BaseRepresentation
bin1100010011101…
…10001001110000
321012021100200200
412021312021300
5202412310100
614124515200
72362364040
oct611661160
9235240620
10103244400
1153308056
122a6abb00
131850b47c
14d9d7720
1590e5e00
hex6276270

103244400 has 360 divisors, whose sum is σ = 435356064. Its totient is φ = 22118400.

The previous prime is 103244399. The next prime is 103244413. The reversal of 103244400 is 4442301.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1032444002 = 21318812262720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428280 + ... + 428520.

Almost surely, 2103244400 is an apocalyptic number.

103244400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217678032).

103244400 is an abundant number, since it is smaller than the sum of its proper divisors (332111664).

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

103244400 is a wasteful number, since it uses less digits than its factorization.

103244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 103244400 is about 10160.9251547288. The cubic root of 103244400 is about 469.1252781413.

Adding to 103244400 its reverse (4442301), we get a palindrome (107686701).

The spelling of 103244400 in words is "one hundred three million, two hundred forty-four thousand, four hundred".