Search a number
-
+
2344945152 = 2931133137
BaseRepresentation
bin1000101111000101…
…0000011000000000
320001102102120000110
42023301100120000
514300301221102
61024404151320
7112052463534
oct21361203000
96042376013
102344945152
11aa372a000
12555398540
132b4a80814
1418360bbc4
15daced86c
hex8bc50600

2344945152 has 320 divisors, whose sum is σ = 7284676608. Its totient is φ = 669081600.

The previous prime is 2344945117. The next prime is 2344945157. The reversal of 2344945152 is 2515494432.

It is a self number, because there is not a number n which added to its sum of digits gives 2344945152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344945157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63376878 + ... + 63376914.

Almost surely, 22344945152 is an apocalyptic number.

2344945152 is a gapful number since it is divisible by the number (22) 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 2344945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642338304).

2344945152 is an abundant number, since it is smaller than the sum of its proper divisors (4939731456).

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

2344945152 is an equidigital number, since it uses as much as digits as its factorization.

2344945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 2344945152 is about 48424.6337311910. The cubic root of 2344945152 is about 1328.5489577357.

The spelling of 2344945152 in words is "two billion, three hundred forty-four million, nine hundred forty-five thousand, one hundred fifty-two".