Search a number
-
+
412041104 = 241747167193
BaseRepresentation
bin11000100011110…
…011111110010000
31001201022212010122
4120203303332100
51320440303404
6104515245412
713132202006
oct3043637620
91051285118
10412041104
111a164a642
12b5ba9868
1367499207
143ca1aa76
15262913be
hex188f3f90

412041104 has 80 divisors (see below), whose sum is σ = 872944128. Its totient is φ = 187662336.

The previous prime is 412041079. The next prime is 412041109. The reversal of 412041104 is 401140214.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (412041109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134832 + ... + 2135024.

Almost surely, 2412041104 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 412041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436472064).

412041104 is an abundant number, since it is smaller than the sum of its proper divisors (460903024).

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

412041104 is a wasteful number, since it uses less digits than its factorization.

412041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 412041104 is about 20298.7956292978. The cubic root of 412041104 is about 744.1266308527.

Adding to 412041104 its reverse (401140214), we get a palindrome (813181318).

The spelling of 412041104 in words is "four hundred twelve million, forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 167 188 193 272 334 376 386 668 752 772 799 1336 1544 1598 2672 2839 3088 3196 3281 5678 6392 6562 7849 9071 11356 12784 13124 15698 18142 22712 26248 31396 32231 36284 45424 52496 62792 64462 72568 125584 128924 133433 145136 154207 257848 266866 308414 515696 533732 547927 616828 1067464 1095854 1233656 1514857 2134928 2191708 2467312 3029714 4383416 6059428 8766832 12118856 24237712 25752569 51505138 103010276 206020552 412041104