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434124390 = 23579712129
BaseRepresentation
bin11001111000000…
…011011001100110
31010020212210201010
4121320003121212
51342113440030
6111024443050
713520665530
oct3170033146
91106783633
10434124390
11203063097
12101479486
136bc2b94b
1441928850
15281a46b0
hex19e03666

434124390 has 64 divisors (see below), whose sum is σ = 1192527360. Its totient is φ = 99079680.

The previous prime is 434124371. The next prime is 434124391. The reversal of 434124390 is 93421434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434124391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202846 + ... + 204974.

It is an arithmetic number, because the mean of its divisors is an integer number (18633240).

Almost surely, 2434124390 is an apocalyptic number.

434124390 is an abundant number, since it is smaller than the sum of its proper divisors (758402970).

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

434124390 is a wasteful number, since it uses less digits than its factorization.

434124390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 434124390 is about 20835.6518976489. The cubic root of 434124390 is about 757.1897541177.

The spelling of 434124390 in words is "four hundred thirty-four million, one hundred twenty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 971 1942 2129 2913 4258 4855 5826 6387 6797 9710 10645 12774 13594 14565 14903 20391 21290 29130 29806 31935 33985 40782 44709 63870 67970 74515 89418 101955 149030 203910 223545 447090 2067259 4134518 6201777 10336295 12403554 14470813 20672590 28941626 31008885 43412439 62017770 72354065 86824878 144708130 217062195 434124390