Search a number
-
+
412690356 = 2233131931523
BaseRepresentation
bin11000100110010…
…010011110110100
31001202112211202000
4120212102132310
51321122042411
6104541215300
713140544611
oct3046223664
91052484660
10412690356
111a1a53411
12b6261530
13676658a0
143cb49508
152636d956
hex189927b4

412690356 has 96 divisors (see below), whose sum is σ = 1158971520. Its totient is φ = 126240768.

The previous prime is 412690349. The next prime is 412690361. The reversal of 412690356 is 653096214.

It is a happy number.

412690356 is a `hidden beast` number, since 41 + 269 + 0 + 356 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 412690356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270211 + ... + 271733.

It is an arithmetic number, because the mean of its divisors is an integer number (12072620).

Almost surely, 2412690356 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 412690356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579485760).

412690356 is an abundant number, since it is smaller than the sum of its proper divisors (746281164).

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

412690356 is a wasteful number, since it uses less digits than its factorization.

412690356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 412690356 is about 20314.7817118472. The cubic root of 412690356 is about 744.5172651586.

The spelling of 412690356 in words is "four hundred twelve million, six hundred ninety thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 193 234 351 386 468 579 702 772 1158 1404 1523 1737 2316 2509 3046 3474 4569 5018 5211 6092 6948 7527 9138 10036 10422 13707 15054 18276 19799 20844 22581 27414 30108 39598 41121 45162 54828 59397 67743 79196 82242 90324 118794 135486 164484 178191 237588 270972 293939 356382 534573 587878 712764 881817 1069146 1175756 1763634 2138292 2645451 3527268 3821207 5290902 7642414 7936353 10581804 11463621 15284828 15872706 22927242 31745412 34390863 45854484 68781726 103172589 137563452 206345178 412690356