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2345368041 = 3453812
BaseRepresentation
bin1000101111001011…
…0111100111101001
320001110020001010000
42023302313213221
514300403234131
61024421213213
7112056204462
oct21362674751
96043201100
102345368041
11aa39987a5
12555561209
132b4b9b153
141836bbd69
15dad83ce6
hex8bcb79e9

2345368041 has 15 divisors (see below), whose sum is σ = 3504225703. Its totient is φ = 1563288120.

The previous prime is 2345368033. The next prime is 2345368057. The reversal of 2345368041 is 1408635432.

The square root of 2345368041 is 48429.

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

2345368041 is a `hidden beast` number, since 2 + 3 + 4 + 536 + 80 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762919641 + 1582448400 = 27621^2 + 39780^2 .

It is not a de Polignac number, because 2345368041 - 23 = 2345368033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2345367987 and 2345368005.

It is not an unprimeable number, because it can be changed into a prime (2345368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 433171 + ... + 438551.

Almost surely, 22345368041 is an apocalyptic number.

2345368041 is the 48429-th square number.

2345368041 is the 24215-th centered octagonal number.

It is an amenable number.

2345368041 is a deficient number, since it is larger than the sum of its proper divisors (1158857662).

2345368041 is an frugal number, since it uses more digits than its factorization.

2345368041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 2345368041 is about 1328.6288167421.

Multiplying 2345368041 by its sum of digits (36), we get a square (84433249476 = 2905742).

The spelling of 2345368041 in words is "two billion, three hundred forty-five million, three hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 27 81 5381 16143 48429 145287 435861 28955161 86865483 260596449 781789347 2345368041