Search a number
-
+
430403116 = 221113257881
BaseRepresentation
bin11001101001110…
…110111000101100
31002222212202002011
4121221312320230
51340140344431
6110413011004
713444236403
oct3151667054
91088782064
10430403116
11200a51260
12100183a64
136b227c00
144123a63a
1527bbbcb1
hex19a76e2c

430403116 has 36 divisors (see below), whose sum is σ = 889762104. Its totient is φ = 180585600.

The previous prime is 430403107. The next prime is 430403131. The reversal of 430403116 is 611304034.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21505 + ... + 36376.

It is an arithmetic number, because the mean of its divisors is an integer number (24715614).

Almost surely, 2430403116 is an apocalyptic number.

It is an amenable number.

430403116 is an abundant number, since it is smaller than the sum of its proper divisors (459358988).

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

430403116 is a wasteful number, since it uses less digits than its factorization.

430403116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57922 (or 57907 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 430403116 is about 20746.1590661983. The cubic root of 430403116 is about 755.0200225674.

The spelling of 430403116 in words is "four hundred thirty million, four hundred three thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 143 169 286 338 572 676 1859 3718 7436 57881 115762 231524 636691 752453 1273382 1504906 2546764 3009812 8276983 9781889 16553966 19563778 33107932 39127556 107600779 215201558 430403116