Search a number
-
+
430275264 = 26313117107
BaseRepresentation
bin11001101001010…
…111101011000000
31002222122020200220
4121221113223000
51340122302024
6110410143040
713443164556
oct3151275300
91088566626
10430275264
112009741a1
12100121a80
136b1b1963
1441205bd6
1527b93e79
hex19a57ac0

430275264 has 56 divisors (see below), whose sum is σ = 1147194048. Its totient is φ = 142321920.

The previous prime is 430275229. The next prime is 430275281. The reversal of 430275264 is 462572034.

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, 16599 + ... + 33705.

It is an arithmetic number, because the mean of its divisors is an integer number (20485608).

Almost surely, 2430275264 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 430275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573597024).

430275264 is an abundant number, since it is smaller than the sum of its proper divisors (716918784).

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

430275264 is a wasteful number, since it uses less digits than its factorization.

430275264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17253 (or 17243 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 430275264 is about 20743.0774958780. The cubic root of 430275264 is about 754.9452551566.

The spelling of 430275264 in words is "four hundred thirty million, two hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 17107 25152 34214 51321 68428 102642 136856 205284 273712 410568 547424 821136 1094848 1642272 2241017 3284544 4482034 6723051 8964068 13446102 17928136 26892204 35856272 53784408 71712544 107568816 143425088 215137632 430275264