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2327134536 = 233431237101
BaseRepresentation
bin1000101010110101…
…0100000101001000
320000011220200110000
42022231110011020
514231221301121
61022530323000
7111445213536
oct21255240510
96004820400
102327134536
11a94674691
1254b429460
132b1185aac
141810d3156
15d9481526
hex8ab54148

2327134536 has 240 divisors, whose sum is σ = 6985695420. Its totient is φ = 723168000.

The previous prime is 2327134529. The next prime is 2327134559. The reversal of 2327134536 is 6354317232.

2327134536 is a `hidden beast` number, since 23 + 2 + 71 + 34 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1751422500 + 575712036 = 41850^2 + 23994^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2327134536.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23040886 + ... + 23040986.

Almost surely, 22327134536 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 2327134536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492847710).

2327134536 is an abundant number, since it is smaller than the sum of its proper divisors (4658560884).

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

2327134536 is a wasteful number, since it uses less digits than its factorization.

2327134536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 2327134536 is about 48240.3828343018. The cubic root of 2327134536 is about 1325.1768195971.

The spelling of 2327134536 in words is "two billion, three hundred twenty-seven million, one hundred thirty-four thousand, five hundred thirty-six".