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434113000 = 2353434113
BaseRepresentation
bin11001111000000…
…000100111101000
31010020212020002021
4121320000213220
51342113104000
6111024314224
713520620366
oct3170004750
91106766067
10434113000
11203055582
12101472974
136bc266c9
1441924636
15281a111a
hex19e009e8

434113000 has 32 divisors (see below), whose sum is σ = 1015826760. Its totient is φ = 173644800.

The previous prime is 434112949. The next prime is 434113021. The reversal of 434113000 is 311434.

It can be written as a sum of positive squares in 4 ways, for example, as 80748196 + 353364804 = 8986^2 + 18798^2 .

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, 216057 + ... + 218056.

Almost surely, 2434113000 is an apocalyptic number.

434113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434113000 is an abundant number, since it is smaller than the sum of its proper divisors (581713760).

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

434113000 is a wasteful number, since it uses less digits than its factorization.

434113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434134 (or 434120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 434113000 is about 20835.3785662752. The cubic root of 434113000 is about 757.1831320013.

Adding to 434113000 its reverse (311434), we get a palindrome (434424434).

The spelling of 434113000 in words is "four hundred thirty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 434113 868226 1736452 2170565 3472904 4341130 8682260 10852825 17364520 21705650 43411300 54264125 86822600 108528250 217056500 434113000