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434106676 = 225311318121
BaseRepresentation
bin11001110111111…
…111000100110100
31010020211220102001
4121313333010310
51342112403201
6111024225044
713520563063
oct3167770464
91106756361
10434106676
11203050853
1210146b184
136bc23873
14419221da
152819e301
hex19dff134

434106676 has 24 divisors (see below), whose sum is σ = 780913224. Its totient is φ = 211061760.

The previous prime is 434106613. The next prime is 434106677. The reversal of 434106676 is 676601434.

It can be written as a sum of positive squares in 4 ways, for example, as 4622500 + 429484176 = 2150^2 + 20724^2 .

It is a super-2 number, since 2×4341066762 = 376897212295537952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434106677) 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, 14896 + ... + 33016.

It is an arithmetic number, because the mean of its divisors is an integer number (32538051).

Almost surely, 2434106676 is an apocalyptic number.

It is an amenable number.

434106676 is a deficient number, since it is larger than the sum of its proper divisors (346806548).

434106676 is a wasteful number, since it uses less digits than its factorization.

434106676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18291 (or 18289 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 434106676 is about 20835.2268046211. The cubic root of 434106676 is about 757.1794551941.

It can be divided in two parts, 43410 and 6676, that added together give a triangular number (50086 = T316).

The spelling of 434106676 in words is "four hundred thirty-four million, one hundred six thousand, six hundred seventy-six".

Divisors: 1 2 4 53 106 113 212 226 452 5989 11978 18121 23956 36242 72484 960413 1920826 2047673 3841652 4095346 8190692 108526669 217053338 434106676