Search a number
-
+
653230332 = 22342239041
BaseRepresentation
bin100110111011111…
…000000011111100
31200112011112120000
4212323320003330
52314211332312
6144452554300
722121236416
oct4673700374
91615145500
10653230332
11305805687
12162922990
13a5445431
1462a819b6
153c534adc
hex26ef80fc

653230332 has 60 divisors (see below), whose sum is σ = 1715520576. Its totient is φ = 216743040.

The previous prime is 653230313. The next prime is 653230349. The reversal of 653230332 is 233032356.

653230332 is a `hidden beast` number, since 6 + 5 + 323 + 0 + 332 = 666.

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 = 653230296 and 653230305.

It is a congruent number.

It is an unprimeable number.

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, 67732 + ... + 76772.

Almost surely, 2653230332 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 653230332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857760288).

653230332 is an abundant number, since it is smaller than the sum of its proper divisors (1062290244).

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

653230332 is a wasteful number, since it uses less digits than its factorization.

653230332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 653230332 is about 25558.3710748553. The cubic root of 653230332 is about 867.6717295195.

Adding to 653230332 its reverse (233032356), we get a palindrome (886262688).

It can be divided in two parts, 6532 and 30332, that added together give a square (36864 = 1922).

The spelling of 653230332 in words is "six hundred fifty-three million, two hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 223 324 446 669 892 1338 2007 2676 4014 6021 8028 9041 12042 18063 18082 24084 27123 36126 36164 54246 72252 81369 108492 162738 244107 325476 488214 732321 976428 1464642 2016143 2929284 4032286 6048429 8064572 12096858 18145287 24193716 36290574 54435861 72581148 108871722 163307583 217743444 326615166 653230332