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2329700688 = 243272418053
BaseRepresentation
bin1000101011011100…
…0110100101010000
320000100202001112200
42022313012211100
514232400410223
61023101323200
7111506062200
oct21267064520
96010661480
102329700688
11a96067677
12550266500
132b1873b23
141815a0400
15d97dba43
hex8adc6950

2329700688 has 180 divisors, whose sum is σ = 7770354228. Its totient is φ = 649313280.

The previous prime is 2329700687. The next prime is 2329700699. The reversal of 2329700688 is 8860079232.

It can be written as a sum of positive squares in 2 ways, for example, as 849605904 + 1480094784 = 29148^2 + 38472^2 .

It is a super-3 number, since 3×23297006883 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329700683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285270 + ... + 293322.

Almost surely, 22329700688 is an apocalyptic number.

2329700688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2329700688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885177114).

2329700688 is an abundant number, since it is smaller than the sum of its proper divisors (5440653540).

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

2329700688 is a wasteful number, since it uses less digits than its factorization.

2329700688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2329700688 is about 48266.9730561178. The cubic root of 2329700688 is about 1325.6637354299.

The spelling of 2329700688 in words is "two billion, three hundred twenty-nine million, seven hundred thousand, six hundred eighty-eight".