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434264120 = 23531350213
BaseRepresentation
bin11001111000100…
…101100000111000
31010021010220101022
4121320211200320
51342132422440
6111031442012
713522120103
oct3170454070
91107126338
10434264120
11203149074
12101526308
136bc7a424
144196373a
15281d0cb5
hex19e25838

434264120 has 32 divisors (see below), whose sum is σ = 1008616320. Its totient is φ = 168101760.

The previous prime is 434264119. The next prime is 434264123. The reversal of 434264120 is 21462434.

It is a self number, because there is not a number n which added to its sum of digits gives 434264120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434264123) by changing a digit.

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, 173867 + ... + 176346.

It is an arithmetic number, because the mean of its divisors is an integer number (31519260).

Almost surely, 2434264120 is an apocalyptic number.

434264120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434264120 is an abundant number, since it is smaller than the sum of its proper divisors (574352200).

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

434264120 is a wasteful number, since it uses less digits than its factorization.

434264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350255 (or 350251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 434264120 is about 20839.0047747007. The cubic root of 434264120 is about 757.2709833517.

The spelling of 434264120 in words is "four hundred thirty-four million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 350213 700426 1400852 1751065 2801704 3502130 7004260 10856603 14008520 21713206 43426412 54283015 86852824 108566030 217132060 434264120