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432140996 = 22722239887
BaseRepresentation
bin11001110000011…
…111001011000100
31010010011001000002
4121300133023010
51341112002441
6110514140432
713465065200
oct3160371304
91103131002
10432140996
11201a28a21
12100881718
136b6b5c41
144156db00
1527e11b9b
hex19c1f2c4

432140996 has 36 divisors (see below), whose sum is σ = 883749888. Its totient is φ = 184354128.

The previous prime is 432140987. The next prime is 432141001. The reversal of 432140996 is 699041234.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38765 + ... + 48651.

It is an arithmetic number, because the mean of its divisors is an integer number (24548608).

Almost surely, 2432140996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432140996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441874944).

432140996 is an abundant number, since it is smaller than the sum of its proper divisors (451608892).

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

432140996 is a wasteful number, since it uses less digits than its factorization.

432140996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 432140996 is about 20788.0012507215. The cubic root of 432140996 is about 756.0348635042.

The spelling of 432140996 in words is "four hundred thirty-two million, one hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 223 446 892 1561 3122 6244 9887 10927 19774 21854 39548 43708 69209 138418 276836 484463 968926 1937852 2204801 4409602 8819204 15433607 30867214 61734428 108035249 216070498 432140996