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414424632 = 23385720149
BaseRepresentation
bin11000101100111…
…001111000111000
31001212210221201110
4120230321320320
51322043042012
6105042320320
713161360036
oct3054717070
91055727643
10414424632
111a2a283a6
12b69590a0
1367b2209b
143d07b556
15265b273c
hex18b39e38

414424632 has 32 divisors (see below), whose sum is σ = 1037322000. Its totient is φ = 137973504.

The previous prime is 414424631. The next prime is 414424639. The reversal of 414424632 is 236424414.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414424632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414424631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10494 + ... + 30642.

Almost surely, 2414424632 is an apocalyptic number.

It is an amenable number.

414424632 is an abundant number, since it is smaller than the sum of its proper divisors (622897368).

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

414424632 is a wasteful number, since it uses less digits than its factorization.

414424632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21015 (or 21011 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 414424632 is about 20357.4220371834. The cubic root of 414424632 is about 745.5587190561.

The spelling of 414424632 in words is "four hundred fourteen million, four hundred twenty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 857 1714 2571 3428 5142 6856 10284 20149 20568 40298 60447 80596 120894 161192 241788 483576 17267693 34535386 51803079 69070772 103606158 138141544 207212316 414424632