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434542264 = 231322911083
BaseRepresentation
bin11001111001101…
…001011010111000
31010021200000220221
4121321221122320
51342220323024
6111041425424
713524356032
oct3171513270
91107600827
10434542264
11203319042
1210163b274
136c046c00
14419d6c52
15282383e4
hex19e696b8

434542264 has 48 divisors (see below), whose sum is σ = 912767400. Its totient is φ = 193624704.

The previous prime is 434542261. The next prime is 434542279. The reversal of 434542264 is 462245434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434542261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33667 + ... + 44749.

Almost surely, 2434542264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434542264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456383700).

434542264 is an abundant number, since it is smaller than the sum of its proper divisors (478225136).

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

434542264 is a wasteful number, since it uses less digits than its factorization.

434542264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144 (or 11127 counting only the distinct ones).

The product of its digits is 92160, while the sum is 34.

The square root of 434542264 is about 20845.6773456753. The cubic root of 434542264 is about 757.4326249406.

Adding to 434542264 its reverse (462245434), we get a palindrome (896787698).

The spelling of 434542264 in words is "four hundred thirty-four million, five hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 1352 1508 3016 4901 9802 11083 19604 22166 39208 44332 88664 144079 288158 321407 576316 642814 1152632 1285628 1873027 2571256 3746054 4178291 7492108 8356582 14984216 16713164 33426328 54317783 108635566 217271132 434542264