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430253020 = 225372772099
BaseRepresentation
bin11001101001010…
…010001111011100
31002222121010012001
4121221102033130
51340121044040
6110405452044
713443042661
oct3151221734
91088533161
10430253020
1120095950a
12100111024
136b1a47b2
14411dba68
1527b8c59a
hex19a523dc

430253020 has 48 divisors (see below), whose sum is σ = 931744800. Its totient is φ = 166765824.

The previous prime is 430252987. The next prime is 430253063. The reversal of 430253020 is 20352034.

It is a super-2 number, since 2×4302530202 = 370235322438240800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203931 + ... + 206029.

It is an arithmetic number, because the mean of its divisors is an integer number (19411350).

Almost surely, 2430253020 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 430253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465872400).

430253020 is an abundant number, since it is smaller than the sum of its proper divisors (501491780).

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

430253020 is a wasteful number, since it uses less digits than its factorization.

430253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 430253020 is about 20742.5413100710. The cubic root of 430253020 is about 754.9322454292.

The spelling of 430253020 in words is "four hundred thirty million, two hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 277 370 554 740 1108 1385 2099 2770 4198 5540 8396 10249 10495 20498 20990 40996 41980 51245 77663 102490 155326 204980 310652 388315 581423 776630 1162846 1553260 2325692 2907115 5814230 11628460 21512651 43025302 86050604 107563255 215126510 430253020