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2344980625 = 541321492
BaseRepresentation
bin1000101111000101…
…1001000010010001
320001102111100200021
42023301121002101
514300303340000
61024405023441
7112053002131
oct21361310221
96042440607
102344980625
11aa3753719
125553b4b81
132b4a93a00
1418361aac1
15dad0911a
hex8bc59091

2344980625 has 45 divisors (see below), whose sum is σ = 3194471973. Its totient is φ = 1720056000.

The previous prime is 2344980613. The next prime is 2344980643. The reversal of 2344980625 is 5260894432.

The square root of 2344980625 is 48425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 462809169 + 1882171456 = 21513^2 + 43384^2 .

It is not a de Polignac number, because 2344980625 - 25 = 2344980593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15738051 + ... + 15738199.

Almost surely, 22344980625 is an apocalyptic number.

2344980625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2344980625 is the 48425-th square number.

2344980625 is the 24213-rd centered octagonal number.

It is an amenable number.

2344980625 is a deficient number, since it is larger than the sum of its proper divisors (849491348).

2344980625 is an frugal number, since it uses more digits than its factorization.

2344980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The cubic root of 2344980625 is about 1328.5556568802. Note that the first 3 decimals are identical.

The spelling of 2344980625 in words is "two billion, three hundred forty-four million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 149 169 325 625 745 845 1625 1937 3725 4225 8125 9685 18625 21125 22201 25181 48425 93125 105625 111005 125905 242125 288613 555025 629525 1210625 1443065 2775125 3147625 3751969 7215325 13875625 15738125 18759845 36076625 93799225 180383125 468996125 2344980625