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413040430 = 251119229863
BaseRepresentation
bin11000100111100…
…111111100101110
31001210012121221201
4120213213330232
51321214243210
6104552520114
713143533335
oct3047477456
91053177851
10413040430
111a2172430
12b63b003a
136775902a
143cbdad1c
15263dc53a
hex189e7f2e

413040430 has 64 divisors (see below), whose sum is σ = 858470400. Its totient is φ = 141505920.

The previous prime is 413040427. The next prime is 413040443. The reversal of 413040430 is 34040314.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 413040398 and 413040407.

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, 478179 + ... + 479041.

It is an arithmetic number, because the mean of its divisors is an integer number (13413600).

Almost surely, 2413040430 is an apocalyptic number.

413040430 is an abundant number, since it is smaller than the sum of its proper divisors (445429970).

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

413040430 is a wasteful number, since it uses less digits than its factorization.

413040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 413040430 is about 20323.3961236797. The cubic root of 413040430 is about 744.7277235738.

Adding to 413040430 its reverse (34040314), we get a palindrome (447080744).

The spelling of 413040430 in words is "four hundred thirteen million, forty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 229 418 458 863 1045 1145 1726 2090 2290 2519 4315 4351 5038 8630 8702 9493 12595 16397 18986 21755 25190 32794 43510 47465 47861 81985 94930 95722 163970 180367 197627 239305 360734 395254 478610 901835 988135 1803670 1976270 2173897 3754913 4347794 7509826 10869485 18774565 21738970 37549130 41304043 82608086 206520215 413040430