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103064304 = 2437306739
BaseRepresentation
bin1100010010010…
…10001011110000
321011221012122110
412021022023300
5202341024204
614121005320
72361014010
oct611121360
9234835573
10103064304
11531a4812
122a623840
13184774c5
14d98bc40
1590ac889
hex624a2f0

103064304 has 40 divisors (see below), whose sum is σ = 304286080. Its totient is φ = 29446848.

The previous prime is 103064261. The next prime is 103064309. The reversal of 103064304 is 403460301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103064309) 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 7 ways as a sum of consecutive naturals, for example, 153034 + ... + 153705.

It is an arithmetic number, because the mean of its divisors is an integer number (7607152).

Almost surely, 2103064304 is an apocalyptic number.

103064304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103064304 is an abundant number, since it is smaller than the sum of its proper divisors (201221776).

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

103064304 is a wasteful number, since it uses less digits than its factorization.

103064304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306757 (or 306751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 103064304 is about 10152.0591014828. The cubic root of 103064304 is about 468.8523440176.

The spelling of 103064304 in words is "one hundred three million, sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 306739 613478 920217 1226956 1840434 2147173 2453912 3680868 4294346 4907824 6441519 7361736 8588692 12883038 14723472 17177384 25766076 34354768 51532152 103064304