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103484304 = 24347111761
BaseRepresentation
bin1100010101100…
…00101110010000
321012201112210000
412022300232100
5202442444204
614134010000
72364413340
oct612605620
9235645700
10103484304
1153461320
122a7a6900
1318593721
14da5ad20
159142039
hex62b0b90

103484304 has 400 divisors, whose sum is σ = 401867136. Its totient is φ = 24883200.

The previous prime is 103484261. The next prime is 103484323. The reversal of 103484304 is 403484301.

103484304 is a `hidden beast` number, since 10 + 348 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1696434 + ... + 1696494.

Almost surely, 2103484304 is an apocalyptic number.

103484304 is a gapful number since it is divisible by the number (14) 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 103484304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200933568).

103484304 is an abundant number, since it is smaller than the sum of its proper divisors (298382832).

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

103484304 is a wasteful number, since it uses less digits than its factorization.

103484304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 103484304 is about 10172.7235291243. The cubic root of 103484304 is about 469.4883582737.

The spelling of 103484304 in words is "one hundred three million, four hundred eighty-four thousand, three hundred four".