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406424430 = 23259114957
BaseRepresentation
bin11000001110011…
…000101101101110
31001022202111111200
4120032120231232
51313021040210
6104155030330
713033356606
oct3016305556
91038674450
10406424430
11199463765
12b413b3a6
1366280839
143bd97c06
1525a320c0
hex18398b6e

406424430 has 48 divisors (see below), whose sum is σ = 1058076864. Its totient is φ = 108239040.

The previous prime is 406424419. The next prime is 406424449. The reversal of 406424430 is 34424604.

It is a junction number, because it is equal to n+sod(n) for n = 406424394 and 406424403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79512 + ... + 84468.

It is an arithmetic number, because the mean of its divisors is an integer number (22043268).

Almost surely, 2406424430 is an apocalyptic number.

406424430 is an abundant number, since it is smaller than the sum of its proper divisors (651652434).

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

406424430 is a wasteful number, since it uses less digits than its factorization.

406424430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 406424430 is about 20159.9709821220. The cubic root of 406424430 is about 740.7300015631.

The spelling of 406424430 in words is "four hundred six million, four hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 911 1822 2733 4555 4957 5466 8199 9110 9914 13665 14871 16398 24785 27330 29742 40995 44613 49570 74355 81990 89226 148710 223065 446130 4515827 9031654 13547481 22579135 27094962 40642443 45158270 67737405 81284886 135474810 203212215 406424430