Search a number
-
+
430812832 = 2553389653
BaseRepresentation
bin11001101011011…
…010111010100000
31010000122120002211
4121223122322200
51340242002312
6110425451504
713450564042
oct3153327240
91100576084
10430812832
1120120106a
12100340b94
136b33c548
1441305a92
1527c4d3a7
hex19adaea0

430812832 has 48 divisors (see below), whose sum is σ = 867714120. Its totient is φ = 210476032.

The previous prime is 430812791. The next prime is 430812841. The reversal of 430812832 is 238218034.

It can be written as a sum of positive squares in 4 ways, for example, as 309900816 + 120912016 = 17604^2 + 10996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 430812794 and 430812803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659418 + ... + 660070.

Almost surely, 2430812832 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 430812832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433857060).

430812832 is an abundant number, since it is smaller than the sum of its proper divisors (436901288).

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

430812832 is a wasteful number, since it uses less digits than its factorization.

430812832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 430812832 is about 20756.0312198647. The cubic root of 430812832 is about 755.2595233714.

The spelling of 430812832 in words is "four hundred thirty million, eight hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 389 424 653 778 848 1306 1556 1696 2612 3112 5224 6224 10448 12448 20617 20896 34609 41234 69218 82468 138436 164936 254017 276872 329872 508034 553744 659744 1016068 1107488 2032136 4064272 8128544 13462901 26925802 53851604 107703208 215406416 430812832