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434144304 = 243211274081
BaseRepresentation
bin11001111000001…
…000010000110000
31010020220211000200
4121320020100300
51342120104204
6111025115200
713521110556
oct3170102060
91106824020
10434144304
11203077050
12101488b00
136bc37a29
1441931bd6
15281aa539
hex19e08430

434144304 has 60 divisors (see below), whose sum is σ = 1325460552. Its totient is φ = 131558400.

The previous prime is 434144299. The next prime is 434144323. The reversal of 434144304 is 403441434.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135457 + ... + 138624.

Almost surely, 2434144304 is an apocalyptic number.

434144304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434144304 is an abundant number, since it is smaller than the sum of its proper divisors (891316248).

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

434144304 is a wasteful number, since it uses less digits than its factorization.

434144304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274106 (or 274097 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 434144304 is about 20836.1297749846. The cubic root of 434144304 is about 757.2013317872.

Adding to 434144304 its reverse (403441434), we get a palindrome (837585738).

The spelling of 434144304 in words is "four hundred thirty-four million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 274081 548162 822243 1096324 1644486 2192648 2466729 3014891 3288972 4385296 4933458 6029782 6577944 9044673 9866916 12059564 13155888 18089346 19733832 24119128 27134019 36178692 39467664 48238256 54268038 72357384 108536076 144714768 217072152 434144304