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2305728324 = 22325321512
BaseRepresentation
bin1000100101101110…
…1001111101000100
312221200122010122100
42021123221331010
514210231301244
61020443432100
7111065240004
oct21133517504
95850563570
102305728324
11a835838a9
12544225630
132a98cc5b3
1417c320004
15d7653b69
hex896e9f44

2305728324 has 81 divisors (see below), whose sum is σ = 5980013949. Its totient is φ = 749080800.

The previous prime is 2305728301. The next prime is 2305728329. The reversal of 2305728324 is 4238275032.

The square root of 2305728324 is 48018.

It is a perfect power (a square), and thus also a powerful number.

2305728324 is a `hidden beast` number, since 2 + 3 + 0 + 572 + 83 + 2 + 4 = 666.

2305728324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1662192900 + 643535424 = 40770^2 + 25368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2305728329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15269649 + ... + 15269799.

Almost surely, 22305728324 is an apocalyptic number.

2305728324 is the 48018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305728324

2305728324 is an abundant number, since it is smaller than the sum of its proper divisors (3674285625).

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

2305728324 is a wasteful number, since it uses less digits than its factorization.

2305728324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 2305728324 is about 1321.1010716491.

Multiplying 2305728324 by its sum of digits (36), we get a square (83006219664 = 2881082).

2305728324 divided by its sum of digits (36) gives a square (64048009 = 80032).

The spelling of 2305728324 in words is "two billion, three hundred five million, seven hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 151 159 212 302 318 453 477 604 636 906 954 1359 1812 1908 2718 2809 5436 5618 8003 8427 11236 16006 16854 22801 24009 25281 32012 33708 45602 48018 50562 68403 72027 91204 96036 101124 136806 144054 205209 273612 288108 410418 424159 820836 848318 1208453 1272477 1696636 2416906 2544954 3625359 3817431 4833812 5089908 7250718 7634862 10876077 14501436 15269724 21752154 43504308 64048009 128096018 192144027 256192036 384288054 576432081 768576108 1152864162 2305728324