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2323407528 = 2332136140693
BaseRepresentation
bin1000101001111100…
…0110001010101000
312222220220022221200
42022133012022220
514224243020103
61022314404200
7111401431611
oct21237061250
95886808850
102323407528
11a92559512
1254a130660
132b047c570
14180802c08
15d8e970a3
hex8a7c62a8

2323407528 has 96 divisors (see below), whose sum is σ = 6887866440. Its totient is φ = 703157760.

The previous prime is 2323407521. The next prime is 2323407539. The reversal of 2323407528 is 8257043232.

It can be written as a sum of positive squares in 4 ways, for example, as 801003204 + 1522404324 = 28302^2 + 39018^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2323407492 and 2323407501.

It is not an unprimeable number, because it can be changed into a prime (2323407521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36750 + ... + 77442.

Almost surely, 22323407528 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 2323407528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443933220).

2323407528 is an abundant number, since it is smaller than the sum of its proper divisors (4564458912).

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

2323407528 is a wasteful number, since it uses less digits than its factorization.

2323407528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40779 (or 40772 counting only the distinct ones).

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

The square root of 2323407528 is about 48201.7378109960. The cubic root of 2323407528 is about 1324.4689986660.

The spelling of 2323407528 in words is "two billion, three hundred twenty-three million, four hundred seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 40693 57096 81386 122079 162772 244158 325544 366237 488316 529009 732474 976632 1058018 1464948 1587027 2116036 2482273 2929896 3174054 4232072 4761081 4964546 6348108 7446819 9522162 9929092 12696216 14893638 19044324 19858184 22340457 29787276 32269549 38088648 44680914 59574552 64539098 89361828 96808647 129078196 178723656 193617294 258156392 290425941 387234588 580851882 774469176 1161703764 2323407528