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2328708864 = 2834396907
BaseRepresentation
bin1000101011001101…
…0100011100000000
320000021212200000110
42022303110130000
514232122140424
61023024151320
7111464461446
oct21263243400
96007780013
102328708864
11a9554a489
1254ba68540
132b15b7551
141813c2b96
15d9692c29
hex8acd4700

2328708864 has 72 divisors (see below), whose sum is σ = 6212778880. Its totient is φ = 774355968.

The previous prime is 2328708847. The next prime is 2328708869. The reversal of 2328708864 is 4688078232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328708869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333699 + ... + 340605.

Almost surely, 22328708864 is an apocalyptic number.

2328708864 is a gapful number since it is divisible by the number (24) 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 2328708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106389440).

2328708864 is an abundant number, since it is smaller than the sum of its proper divisors (3884070016).

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

2328708864 is an equidigital number, since it uses as much as digits as its factorization.

2328708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 2328708864 is about 48256.6976076897. The cubic root of 2328708864 is about 1325.4755836863.

The spelling of 2328708864 in words is "two billion, three hundred twenty-eight million, seven hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 439 768 878 1317 1756 2634 3512 5268 6907 7024 10536 13814 14048 20721 21072 27628 28096 41442 42144 55256 56192 82884 84288 110512 112384 165768 168576 221024 331536 337152 442048 663072 884096 1326144 1768192 2652288 3032173 5304576 6064346 9096519 12128692 18193038 24257384 36386076 48514768 72772152 97029536 145544304 194059072 291088608 388118144 582177216 776236288 1164354432 2328708864