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434255004 = 223217832103
BaseRepresentation
bin11001111000100…
…011010010011100
31010021010102212200
4121320203102130
51342132130004
6111031331500
713522051401
oct3170432234
91107112780
10434255004
11203142237
12101520b90
136bc76231
14419602a8
15281cd239
hex19e2349c

434255004 has 108 divisors (see below), whose sum is σ = 1187864496. Its totient is φ = 133288704.

The previous prime is 434254993. The next prime is 434255009. The reversal of 434255004 is 400552434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434255009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4216017 + ... + 4216119.

Almost surely, 2434255004 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 434255004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593932248).

434255004 is an abundant number, since it is smaller than the sum of its proper divisors (753609492).

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

434255004 is a wasteful number, since it uses less digits than its factorization.

434255004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 434255004 is about 20838.7860490960. The cubic root of 434255004 is about 757.2656844792.

The spelling of 434255004 in words is "four hundred thirty-four million, two hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 103 153 166 204 206 249 306 309 332 412 498 612 618 747 927 996 1236 1411 1494 1751 1854 2822 2988 3502 3708 4233 5253 5644 6889 7004 8466 8549 10506 12699 13778 15759 16932 17098 20667 21012 25398 25647 27556 31518 34196 41334 50796 51294 62001 63036 76941 82668 102588 117113 124002 145333 153882 234226 248004 290666 307764 351339 435999 468452 581332 702678 709567 871998 1054017 1307997 1405356 1419134 1743996 2108034 2128701 2615994 2838268 4216068 4257402 5231988 6386103 8514804 12062639 12772206 24125278 25544412 36187917 48250556 72375834 108563751 144751668 217127502 434255004