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434112312 = 23373247781
BaseRepresentation
bin11001111000000…
…000011100111000
31010020212012010210
4121320000130320
51342113043222
6111024311120
713520615364
oct3170003470
91106765123
10434112312
11203055007
121014724a0
136bc262ba
14419242a4
15281a0d0c
hex19e00738

434112312 has 32 divisors (see below), whose sum is σ = 1100152080. Its totient is φ = 142721280.

The previous prime is 434112299. The next prime is 434112337. The reversal of 434112312 is 213211434.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122139 + ... + 125642.

Almost surely, 2434112312 is an apocalyptic number.

It is an amenable number.

434112312 is an abundant number, since it is smaller than the sum of its proper divisors (666039768).

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

434112312 is a wasteful number, since it uses less digits than its factorization.

434112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247863 (or 247859 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 434112312 is about 20835.3620558895. The cubic root of 434112312 is about 757.1827319961.

Adding to 434112312 its reverse (213211434), we get a palindrome (647323746).

It can be divided in two parts, 4341 and 12312, that added together give a triangular number (16653 = T182).

The spelling of 434112312 in words is "four hundred thirty-four million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 247781 495562 743343 991124 1486686 1982248 2973372 5946744 18088013 36176026 54264039 72352052 108528078 144704104 217056156 434112312