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2328496640 = 295979377
BaseRepresentation
bin1000101011001010…
…0000101000000000
320000021110212220022
42022302200220000
514232043343030
61023015433012
7111462615641
oct21262405000
96007425808
102328496640
11a95414a98
1254b985768
132b1541a82
141813696c8
15d964ede5
hex8aca0a00

2328496640 has 80 divisors (see below), whose sum is σ = 5641092072. Its totient is φ = 921698304.

The previous prime is 2328496631. The next prime is 2328496649. The reversal of 2328496640 is 466948232.

It is an interprime number because it is at equal distance from previous prime (2328496631) and next prime (2328496649).

It can be written as a sum of positive squares in 4 ways, for example, as 1331958016 + 996538624 = 36496^2 + 31568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2328496591 and 2328496600.

It is not an unprimeable number, because it can be changed into a prime (2328496649) 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, 243632 + ... + 253008.

Almost surely, 22328496640 is an apocalyptic number.

2328496640 is a gapful number since it is divisible by the number (20) 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 2328496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820546036).

2328496640 is an abundant number, since it is smaller than the sum of its proper divisors (3312595432).

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

2328496640 is an frugal number, since it uses more digits than its factorization.

2328496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 2328496640 is about 48254.4986503849. The cubic root of 2328496640 is about 1325.4353172708.

The spelling of 2328496640 in words is "two billion, three hundred twenty-eight million, four hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1280 1552 1940 2560 3104 3880 6208 7760 9377 12416 15520 18754 24832 31040 37508 46885 49664 62080 75016 93770 124160 150032 187540 248320 300064 375080 600128 750160 909569 1200256 1500320 1819138 2400512 3000640 3638276 4547845 4801024 6001280 7276552 9095690 12002560 14553104 18191380 24005120 29106208 36382760 58212416 72765520 116424832 145531040 232849664 291062080 465699328 582124160 1164248320 2328496640