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434344131 = 32133123863
BaseRepresentation
bin11001111000111…
…001000011000011
31010021021222010200
4121320321003003
51342143003011
6111033300243
713522602264
oct3170710303
91107258120
10434344131
112031a31a1
12101564683
136bca7980
144198496b
15281e9856
hex19e390c3

434344131 has 36 divisors (see below), whose sum is σ = 698325264. Its totient is φ = 258599520.

The previous prime is 434344117. The next prime is 434344139. The reversal of 434344131 is 131443434.

It is not a de Polignac number, because 434344131 - 29 = 434343619 is a prime.

It is a super-2 number, since 2×4343441312 = 377309648268290322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434344095 and 434344104.

It is not an unprimeable number, because it can be changed into a prime (434344139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110506 + ... + 114368.

It is an arithmetic number, because the mean of its divisors is an integer number (19397924).

Almost surely, 2434344131 is an apocalyptic number.

434344131 is a deficient number, since it is larger than the sum of its proper divisors (263981133).

434344131 is a wasteful number, since it uses less digits than its factorization.

434344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3910 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 434344131 is about 20840.9244276735. The cubic root of 434344131 is about 757.3174882973.

Adding to 434344131 its reverse (131443434), we get a palindrome (565787565).

The spelling of 434344131 in words is "four hundred thirty-four million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 961 1209 2883 3627 3863 8649 11589 12493 34767 37479 50219 112437 119753 150657 359259 451971 1077777 1556789 3712343 4670367 11137029 14011101 33411087 48260459 144781377 434344131