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434252352 = 26317233571
BaseRepresentation
bin11001111000100…
…010101001000000
31010021010022020110
4121320202221000
51342132033402
6111031311320
713522040562
oct3170425100
91107108213
10434252352
11203140246
1210151b540
136bc74c71
144195d332
15281cc56c
hex19e22a40

434252352 has 112 divisors (see below), whose sum is σ = 1223906112. Its totient is φ = 135413760.

The previous prime is 434252347. The next prime is 434252359. The reversal of 434252352 is 253252434.

It is not an unprimeable number, because it can be changed into a prime (434252359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760227 + ... + 760797.

Almost surely, 2434252352 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 434252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611953056).

434252352 is an abundant number, since it is smaller than the sum of its proper divisors (789653760).

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

434252352 is a wasteful number, since it uses less digits than its factorization.

434252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 434252352 is about 20838.7224176532. The cubic root of 434252352 is about 757.2641429328.

The spelling of 434252352 in words is "four hundred thirty-four million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 233 272 408 466 544 571 699 816 932 1088 1142 1398 1632 1713 1864 2284 2796 3264 3426 3728 3961 4568 5592 6852 7456 7922 9136 9707 11184 11883 13704 14912 15844 18272 19414 22368 23766 27408 29121 31688 36544 38828 44736 47532 54816 58242 63376 77656 95064 109632 116484 126752 133043 155312 190128 232968 253504 266086 310624 380256 399129 465936 532172 621248 760512 798258 931872 1064344 1596516 1863744 2128688 2261731 3193032 4257376 4523462 6386064 6785193 8514752 9046924 12772128 13570386 18093848 25544256 27140772 36187696 54281544 72375392 108563088 144750784 217126176 434252352