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103412304 = 2432898069
BaseRepresentation
bin1100010100111…
…11001001010000
321012120220000100
412022133021100
5202433143204
614132252400
72363663412
oct612371120
9235526010
10103412304
1153412216
122a771100
1318569a18
14da3c9b2
15912aa39
hex629f250

103412304 has 60 divisors (see below), whose sum is σ = 292698900. Its totient is φ = 34079232.

The previous prime is 103412303. The next prime is 103412321. The reversal of 103412304 is 403214301.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 97061904 = 2520^2 + 9852^2 .

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 (103412303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8782 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (4878315).

Almost surely, 2103412304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146349450).

103412304 is an abundant number, since it is smaller than the sum of its proper divisors (189286596).

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

103412304 is a wasteful number, since it uses less digits than its factorization.

103412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103412304 is about 10169.1840380632. The cubic root of 103412304 is about 469.3794496337.

Adding to 103412304 its reverse (403214301), we get a palindrome (506626605).

The spelling of 103412304 in words is "one hundred three million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 8069 12816 16138 24207 32276 48414 64552 72621 96828 129104 145242 193656 290484 387312 580968 718141 1161936 1436282 2154423 2872564 4308846 5745128 6463269 8617692 11490256 12926538 17235384 25853076 34470768 51706152 103412304