Search a number
-
+
2345251304 = 2311234326947
BaseRepresentation
bin1000101111001001…
…1011000111101000
320001110000002222102
42023302123013220
514300341020204
61024414512532
7112055210234
oct21362330750
96043002872
102345251304
11aa3919020
12555505748
132b4b59c86
1418368b5c4
15dad5e41e
hex8bc9b1e8

2345251304 has 64 divisors (see below), whose sum is σ = 5122275840. Its totient is φ = 995924160.

The previous prime is 2345251289. The next prime is 2345251309. The reversal of 2345251304 is 4031525432.

It is a happy number.

2345251304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2345251309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73559 + ... + 100505.

It is an arithmetic number, because the mean of its divisors is an integer number (80035560).

Almost surely, 22345251304 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 2345251304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561137920).

2345251304 is an abundant number, since it is smaller than the sum of its proper divisors (2777024536).

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

2345251304 is a wasteful number, since it uses less digits than its factorization.

2345251304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27030 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2345251304 is about 48427.7947464057. The cubic root of 2345251304 is about 1328.6067729075.

Adding to 2345251304 its reverse (4031525432), we get a palindrome (6376776736).

The spelling of 2345251304 in words is "two billion, three hundred forty-five million, two hundred fifty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 172 184 253 344 473 506 946 989 1012 1892 1978 2024 3784 3956 7912 10879 21758 26947 43516 53894 87032 107788 215576 296417 592834 619781 1158721 1185668 1239562 2317442 2371336 2479124 4634884 4958248 6817591 9269768 12745931 13635182 25491862 26650583 27270364 50983724 53301166 54540728 101967448 106602332 213204664 293156413 586312826 1172625652 2345251304