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434069928 = 2336263283
BaseRepresentation
bin11001110111110…
…110000110101000
31010020210001000000
4121313312012220
51342110214203
6111023343000
713520350665
oct3167660650
91106701000
10434069928
11203026186
12101451a60
136bc0cc16
1441912a6c
15281934a3
hex19df61a8

434069928 has 112 divisors (see below), whose sum is σ = 1229231520. Its totient is φ = 143630496.

The previous prime is 434069921. The next prime is 434069981. The reversal of 434069928 is 829960434.

It is not an unprimeable number, because it can be changed into a prime (434069921) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1533675 + ... + 1533957.

Almost surely, 2434069928 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 434069928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614615760).

434069928 is an abundant number, since it is smaller than the sum of its proper divisors (795161592).

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

434069928 is a wasteful number, since it uses less digits than its factorization.

434069928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 434069928 is about 20834.3449141076. The cubic root of 434069928 is about 757.1580890051.

The spelling of 434069928 in words is "four hundred thirty-four million, sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 263 283 324 486 526 566 648 729 789 849 972 1052 1132 1458 1578 1698 1944 2104 2264 2367 2547 2916 3156 3396 4734 5094 5832 6312 6792 7101 7641 9468 10188 14202 15282 18936 20376 21303 22923 28404 30564 42606 45846 56808 61128 63909 68769 74429 85212 91692 127818 137538 148858 170424 183384 191727 206307 223287 255636 275076 297716 383454 412614 446574 511272 550152 595432 669861 766908 825228 893148 1339722 1533816 1650456 1786296 2009583 2679444 4019166 5358888 6028749 8038332 12057498 16076664 18086247 24114996 36172494 48229992 54258741 72344988 108517482 144689976 217034964 434069928