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103304430 = 23351572437
BaseRepresentation
bin1100010100001…
…00110011101110
321012101102001000
412022010303232
5202421220210
614130101130
72363034045
oct612046356
9235342030
10103304430
1153349169
122a71a7a6
131852c8a8
14da1155c
159108ac0
hex6284cee

103304430 has 64 divisors (see below), whose sum is σ = 277346880. Its totient is φ = 27361152.

The previous prime is 103304389. The next prime is 103304437. The reversal of 103304430 is 34403301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103304437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41172 + ... + 43608.

It is an arithmetic number, because the mean of its divisors is an integer number (4333545).

Almost surely, 2103304430 is an apocalyptic number.

103304430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138673440).

103304430 is an abundant number, since it is smaller than the sum of its proper divisors (174042450).

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

103304430 is a wasteful number, since it uses less digits than its factorization.

103304430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 103304430 is about 10163.8786887684. The cubic root of 103304430 is about 469.2161826170.

Adding to 103304430 its reverse (34403301), we get a palindrome (137707731).

The spelling of 103304430 in words is "one hundred three million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 2355 2437 2826 4239 4710 4874 7065 7311 8478 12185 14130 14622 21195 21933 24370 36555 42390 43866 65799 73110 109665 131598 219330 328995 382609 657990 765218 1147827 1913045 2295654 3443481 3826090 5739135 6886962 10330443 11478270 17217405 20660886 34434810 51652215 103304430