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104232414 = 231113412963
BaseRepresentation
bin1100011011001…
…11010111011110
321021010112222210
412031213113132
5203140414124
614202021250
72403650406
oct615472736
9237115883
10104232414
11539223a0
122aaa7826
13187960b0
14dbb3806
15923da29
hex63675de

104232414 has 64 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 28435200.

The previous prime is 104232341. The next prime is 104232421. The reversal of 104232414 is 414232401.

It is a super-2 number, since 2×1042324142 = 21728792256534792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33697 + ... + 36659.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2104232414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

104232414 is an abundant number, since it is smaller than the sum of its proper divisors (146735394).

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

104232414 is a wasteful number, since it uses less digits than its factorization.

104232414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104232414 is about 10209.4277018842. The cubic root of 104232414 is about 470.6169865957.

Adding to 104232414 its reverse (414232401), we get a palindrome (518464815).

The spelling of 104232414 in words is "one hundred four million, two hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 66 78 82 123 143 246 286 429 451 533 858 902 1066 1353 1599 2706 2963 3198 5863 5926 8889 11726 17589 17778 32593 35178 38519 65186 77038 97779 115557 121483 195558 231114 242966 364449 423709 728898 847418 1271127 1336313 1579279 2542254 2672626 3158558 4008939 4737837 8017878 9475674 17372069 34744138 52116207 104232414