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2343124240 = 24597301949
BaseRepresentation
bin1000101110101001…
…0011110100010000
320001022000001012021
42023222103310100
514244314433430
61024301141224
7112031141002
oct21352236420
96038001167
102343124240
11aa26a5a16
1255485a814
132b4593a62
14183296372
15daa8e07a
hex8ba93d10

2343124240 has 40 divisors (see below), whose sum is σ = 5503944600. Its totient is φ = 927584256.

The previous prime is 2343124183. The next prime is 2343124247. The reversal of 2343124240 is 424213432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14868736 + 2328255504 = 3856^2 + 48252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2343124247) 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, 143215 + ... + 158734.

It is an arithmetic number, because the mean of its divisors is an integer number (137598615).

Almost surely, 22343124240 is an apocalyptic number.

2343124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343124240 is an abundant number, since it is smaller than the sum of its proper divisors (3160820360).

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

2343124240 is a wasteful number, since it uses less digits than its factorization.

2343124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302059 (or 302053 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2343124240 is about 48405.8285746665. The cubic root of 2343124240 is about 1328.2049842044.

Adding to 2343124240 its reverse (424213432), we get a palindrome (2767337672).

The spelling of 2343124240 in words is "two billion, three hundred forty-three million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 301949 603898 1207796 1509745 2415592 3019490 4831184 6038980 12077960 24155920 29289053 58578106 117156212 146445265 234312424 292890530 468624848 585781060 1171562120 2343124240