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2324536128 = 26324035653
BaseRepresentation
bin1000101010001101…
…1001101101000000
320000000000200002200
42022203121231000
514230040124003
61022354513200
7111414142155
oct21243315500
96000020080
102324536128
11a9315a442
1254a595800
132b0786185
14180a1822c
15d911b6a3
hex8a8d9b40

2324536128 has 42 divisors (see below), whose sum is σ = 6662864754. Its totient is φ = 774845184.

The previous prime is 2324536127. The next prime is 2324536163. The reversal of 2324536128 is 8216354232.

2324536128 is a `hidden beast` number, since 2 + 32 + 4 + 5 + 3 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1166359104 + 1158177024 = 34152^2 + 34032^2 .

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 = 2324536092 and 2324536101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324536127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2017251 + ... + 2018402.

It is an arithmetic number, because the mean of its divisors is an integer number (158639637).

Almost surely, 22324536128 is an apocalyptic number.

It is an amenable number.

2324536128 is an abundant number, since it is smaller than the sum of its proper divisors (4338328626).

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

2324536128 is a wasteful number, since it uses less digits than its factorization.

2324536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035671 (or 4035658 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2324536128 is about 48213.4434364525. The cubic root of 2324536128 is about 1324.6834184677.

The spelling of 2324536128 in words is "two billion, three hundred twenty-four million, five hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4035653 8071306 12106959 16142612 24213918 32285224 36320877 48427836 64570448 72641754 96855672 129140896 145283508 193711344 258281792 290567016 387422688 581134032 774845376 1162268064 2324536128