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406480434 = 23121755667
BaseRepresentation
bin11000001110100…
…110011000110010
31001022212100022220
4120032212120302
51313024333214
6104200141510
713034012103
oct3016463062
91038770286
10406480434
111994a1848
12b4167896
13662a0189
143bdb03aa
1525a439a9
hex183a6632

406480434 has 16 divisors (see below), whose sum is σ = 813643488. Its totient is φ = 135379712.

The previous prime is 406480429. The next prime is 406480447. The reversal of 406480434 is 434084604.

It is a junction number, because it is equal to n+sod(n) for n = 406480395 and 406480404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20532 + ... + 35135.

It is an arithmetic number, because the mean of its divisors is an integer number (50852718).

Almost surely, 2406480434 is an apocalyptic number.

406480434 is an abundant number, since it is smaller than the sum of its proper divisors (407163054).

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

406480434 is a wasteful number, since it uses less digits than its factorization.

406480434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56889.

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 406480434 is about 20161.3599243702. The cubic root of 406480434 is about 740.7640234170.

The spelling of 406480434 in words is "four hundred six million, four hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 1217 2434 3651 7302 55667 111334 167001 334002 67746739 135493478 203240217 406480434