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434796012 = 22367217179
BaseRepresentation
bin11001111010100…
…111010111101100
31010022010221000000
4121322213113230
51342301433022
6111051104300
713526463600
oct3172472754
91108127000
10434796012
11203481752
12101742090
136c105561
1441a61500
15282886ac
hex19ea75ec

434796012 has 252 divisors, whose sum is σ = 1412986680. Its totient is φ = 116266752.

The previous prime is 434795989. The next prime is 434796017. The reversal of 434796012 is 210697434.

434796012 is a `hidden beast` number, since 4 + 3 + 47 + 9 + 601 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×4347960122 = 378095144102208288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (434796017) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2428939 + ... + 2429117.

It is an arithmetic number, because the mean of its divisors is an integer number (5607090).

Almost surely, 2434796012 is an apocalyptic number.

434796012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434796012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706493340).

434796012 is an abundant number, since it is smaller than the sum of its proper divisors (978190668).

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

434796012 is a wasteful number, since it uses less digits than its factorization.

434796012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 434796012 is about 20851.7628031781. The cubic root of 434796012 is about 757.5800287960.

The spelling of 434796012 in words is "four hundred thirty-four million, seven hundred ninety-six thousand, twelve".