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434313312 = 2534524097
BaseRepresentation
bin11001111000110…
…001100001100000
31010021020101212020
4121320301201200
51342141011222
6111032501440
713522413366
oct3170614140
91107211766
10434313312
11203182024
1210154a880
136bc96934
1441977636
15281e065c
hex19e31860

434313312 has 24 divisors (see below), whose sum is σ = 1140072696. Its totient is φ = 144771072.

The previous prime is 434313311. The next prime is 434313349. The reversal of 434313312 is 213313434.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 not an unprimeable number, because it can be changed into a prime (434313311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2261953 + ... + 2262144.

It is an arithmetic number, because the mean of its divisors is an integer number (47503029).

Almost surely, 2434313312 is an apocalyptic number.

It is an amenable number.

434313312 is an abundant number, since it is smaller than the sum of its proper divisors (705759384).

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

434313312 is a wasteful number, since it uses less digits than its factorization.

434313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524110 (or 4524102 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 434313312 is about 20840.1850279694. The cubic root of 434313312 is about 757.2995759877.

Adding to 434313312 its reverse (213313434), we get a palindrome (647626746).

The spelling of 434313312 in words is "four hundred thirty-four million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4524097 9048194 13572291 18096388 27144582 36192776 54289164 72385552 108578328 144771104 217156656 434313312