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406468356 = 22376417549
BaseRepresentation
bin11000001110100…
…011011100000100
31001022211201202120
4120032203130010
51313023441411
6104200005540
713033631640
oct3016433404
91038751676
10406468356
11199493768
12b41608b0
1366297828
143bda9c20
1525a40106
hex183a3704

406468356 has 48 divisors (see below), whose sum is σ = 1085750400. Its totient is φ = 115937280.

The previous prime is 406468319. The next prime is 406468357. The reversal of 406468356 is 653864604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (406468357) 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, 50070 + ... + 57618.

It is an arithmetic number, because the mean of its divisors is an integer number (22619800).

Almost surely, 2406468356 is an apocalyptic number.

It is an amenable number.

406468356 is an abundant number, since it is smaller than the sum of its proper divisors (679282044).

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

406468356 is a wasteful number, since it uses less digits than its factorization.

406468356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 406468356 is about 20161.0603887792. The cubic root of 406468356 is about 740.7566864206.

The spelling of 406468356 in words is "four hundred six million, four hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 641 1282 1923 2564 3846 4487 7549 7692 8974 13461 15098 17948 22647 26922 30196 45294 52843 53844 90588 105686 158529 211372 317058 634116 4838909 9677818 14516727 19355636 29033454 33872363 58066908 67744726 101617089 135489452 203234178 406468356