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103404312 = 233211137953
BaseRepresentation
bin1100010100111…
…01001100011000
321012120111001100
412022131030120
5202432414222
614132151400
72363631204
oct612351430
9235514040
10103404312
1153407210
122a768560
13185661ab
14da39b04
1591284ac
hex629d318

103404312 has 96 divisors (see below), whose sum is σ = 308065680. Its totient is φ = 31073280.

The previous prime is 103404299. The next prime is 103404331. The reversal of 103404312 is 213404301.

103404312 is a `hidden beast` number, since 10 + 340 + 4 + 312 = 666.

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 23 ways as a sum of consecutive naturals, for example, 108028 + ... + 108980.

Almost surely, 2103404312 is an apocalyptic number.

103404312 is a gapful number since it is divisible by the number (12) 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 103404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154032840).

103404312 is an abundant number, since it is smaller than the sum of its proper divisors (204661368).

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

103404312 is a wasteful number, since it uses less digits than its factorization.

103404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1106 counting only the distinct ones).

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

The square root of 103404312 is about 10168.7910785894. The cubic root of 103404312 is about 469.3673576580.

Adding to 103404312 its reverse (213404301), we get a palindrome (316808613).

The spelling of 103404312 in words is "one hundred three million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 137 198 264 274 396 411 548 792 822 953 1096 1233 1507 1644 1906 2466 2859 3014 3288 3812 4521 4932 5718 6028 7624 8577 9042 9864 10483 11436 12056 13563 17154 18084 20966 22872 27126 31449 34308 36168 41932 54252 62898 68616 83864 94347 108504 125796 130561 188694 251592 261122 377388 391683 522244 754776 783366 1044488 1175049 1436171 1566732 2350098 2872342 3133464 4308513 4700196 5744684 8617026 9400392 11489368 12925539 17234052 25851078 34468104 51702156 103404312