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434014120 = 23550921317
BaseRepresentation
bin11001110111101…
…000011110101000
31010020200012110001
4121313220132220
51342101422440
6111022232344
713520026201
oct3167503650
91106605401
10434014120
11202a98261
121014256b4
136bbc06b7
14418da5a8
1528181b9a
hex19de87a8

434014120 has 32 divisors (see below), whose sum is σ = 978496200. Its totient is φ = 173256448.

The previous prime is 434014111. The next prime is 434014123. The reversal of 434014120 is 21410434.

It can be written as a sum of positive squares in 4 ways, for example, as 430396516 + 3617604 = 20746^2 + 1902^2 .

It is not an unprimeable number, because it can be changed into a prime (434014123) 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, 9702 + ... + 31018.

Almost surely, 2434014120 is an apocalyptic number.

434014120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434014120 is an abundant number, since it is smaller than the sum of its proper divisors (544482080).

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

434014120 is a wasteful number, since it uses less digits than its factorization.

434014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 434014120 is about 20833.0055440880. The cubic root of 434014120 is about 757.1256385581.

Adding to 434014120 its reverse (21410434), we get a palindrome (455424554).

The spelling of 434014120 in words is "four hundred thirty-four million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 509 1018 2036 2545 4072 5090 10180 20360 21317 42634 85268 106585 170536 213170 426340 852680 10850353 21700706 43401412 54251765 86802824 108503530 217007060 434014120