Search a number
2328708096 = 2103311131931
BaseRepresentation
bin1000101011001101…
…0100010000000000
320000021212121222000
42022303110100000
514232122124341
61023024144000
7111464456301
oct21263242000
96007777860
102328708096
11a95549950
1254ba68000
132b15b70b0
141813c27a8
15d96928b6
hex8acd4400

2328708096 has 704 divisors, whose sum is σ = 8803737600. Its totient is φ = 597196800.

The previous prime is 2328708061. The next prime is 2328708113. The reversal of 2328708096 is 6908078232.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75119601 + ... + 75119631.

Almost surely, 22328708096 is an apocalyptic number.

2328708096 is a gapful number since it is divisible by the number (26) 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 2328708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401868800).

2328708096 is an abundant number, since it is smaller than the sum of its proper divisors (6475029504).

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

2328708096 is a wasteful number, since it uses less digits than its factorization.

2328708096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

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

The square root of 2328708096 is about 48256.6896502443. The cubic root of 2328708096 is about 1325.4754379738.

The spelling of 2328708096 in words is "two billion, three hundred twenty-eight million, seven hundred eight thousand, ninety-six".