Search a number
-
+
2340052992 = 21332171867
BaseRepresentation
bin1000101101111010…
…0110000000000000
320001002020000020100
42023132212000000
514243023143432
61024111242400
7111663056634
oct21336460000
96032200210
102340052992
11aa09984a2
12553819400
132b3a59b54
14182ad6dc4
15da68407c
hex8b7a6000

2340052992 has 168 divisors, whose sum is σ = 7161205896. Its totient is φ = 733741056.

The previous prime is 2340052973. The next prime is 2340052993. The reversal of 2340052992 is 2992500432.

2340052992 is a `hidden beast` number, since 2 + 3 + 40 + 0 + 529 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340052993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252443 + ... + 1254309.

Almost surely, 22340052992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580602948).

2340052992 is an abundant number, since it is smaller than the sum of its proper divisors (4821152904).

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

2340052992 is a wasteful number, since it uses less digits than its factorization.

2340052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2340052992 is about 48374.0942240782. The cubic root of 2340052992 is about 1327.6244159727.

The spelling of 2340052992 in words is "two billion, three hundred forty million, fifty-two thousand, nine hundred ninety-two".