Search a number
-
+
2342272644 = 223265063129
BaseRepresentation
bin1000101110011100…
…0011111010000100
320001020101210000200
42023213003322010
514244110211034
61024231010500
7112020663135
oct21347037204
96036353020
102342272644
11aa2174118
12554509a30
132b435625a
14183113c8c
15da971a99
hex8b9c3e84

2342272644 has 18 divisors (see below), whose sum is σ = 5920744830. Its totient is φ = 780757536.

The previous prime is 2342272627. The next prime is 2342272657. The reversal of 2342272644 is 4462722432.

2342272644 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 2 + 7 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2235398400 + 106874244 = 47280^2 + 10338^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×23422726442 = 10972482277661501472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 65063129 = 2342272644 / (2 + 3 + 4 + 2 + 2 + 7 + 2 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2342272599 and 2342272608.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32531529 + ... + 32531600.

Almost surely, 22342272644 is an apocalyptic number.

It is an amenable number.

2342272644 is an abundant number, since it is smaller than the sum of its proper divisors (3578472186).

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

2342272644 is a wasteful number, since it uses less digits than its factorization.

2342272644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65063139 (or 65063134 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 2342272644 is about 48397.0313552391. The cubic root of 2342272644 is about 1328.0440550356.

The spelling of 2342272644 in words is "two billion, three hundred forty-two million, two hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 65063129 130126258 195189387 260252516 390378774 585568161 780757548 1171136322 2342272644