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434360232 = 23344116349
BaseRepresentation
bin11001111000111…
…100111110101000
31010021022210020000
4121320330332220
51342144011412
6111033503000
713523000235
oct3170747650
91107283200
10434360232
112032042a9
12101571a60
136bcb20b7
144198a78c
15281ee4dc
hex19e3cfa8

434360232 has 80 divisors (see below), whose sum is σ = 1246360500. Its totient is φ = 141246720.

The previous prime is 434360207. The next prime is 434360233. The reversal of 434360232 is 232063434.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 345736836 + 88623396 = 18594^2 + 9414^2 .

It is a super-2 number, since 2×4343602322 = 377337622286187648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434360196 and 434360205.

It is not an unprimeable number, because it can be changed into a prime (434360233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18394 + ... + 34742.

Almost surely, 2434360232 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 434360232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623180250).

434360232 is an abundant number, since it is smaller than the sum of its proper divisors (812000268).

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

434360232 is a wasteful number, since it uses less digits than its factorization.

434360232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16408 (or 16395 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 434360232 is about 20841.3107073428. The cubic root of 434360232 is about 757.3268460219.

The spelling of 434360232 in words is "four hundred thirty-four million, three hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 13284 16349 26568 32698 49047 65396 98094 130792 147141 196188 294282 392376 441423 588564 670309 882846 1177128 1324269 1340618 1765692 2010927 2648538 2681236 3531384 4021854 5297076 5362472 6032781 8043708 10594152 12065562 16087416 18098343 24131124 36196686 48262248 54295029 72393372 108590058 144786744 217180116 434360232