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2293864344 = 2332311027717
BaseRepresentation
bin1000100010111001…
…1001011110011000
312220212022101022200
42020232121132120
514144212124334
61015341250200
7110562345102
oct21056313630
95825271280
102293864344
11a77910262
12540263960
132a73074a5
1417a912572
15d65ad799
hex88b99798

2293864344 has 48 divisors (see below), whose sum is σ = 6412960320. Its totient is φ = 739955520.

The previous prime is 2293864297. The next prime is 2293864361. The reversal of 2293864344 is 4434683922.

2293864344 is a `hidden beast` number, since 229 + 3 + 86 + 4 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2293864344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511627 + ... + 516090.

It is an arithmetic number, because the mean of its divisors is an integer number (133603340).

Almost surely, 22293864344 is an apocalyptic number.

2293864344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2293864344 is an abundant number, since it is smaller than the sum of its proper divisors (4119095976).

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

2293864344 is a wasteful number, since it uses less digits than its factorization.

2293864344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027760 (or 1027753 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2293864344 is about 47894.3038784363. The cubic root of 2293864344 is about 1318.8312933752.

The spelling of 2293864344 in words is "two billion, two hundred ninety-three million, eight hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1027717 2055434 3083151 4110868 6166302 8221736 9249453 12332604 18498906 24665208 31859227 36997812 63718454 73995624 95577681 127436908 191155362 254873816 286733043 382310724 573466086 764621448 1146932172 2293864344