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2346042041 = 72172816377
BaseRepresentation
bin1000101111010101…
…1100001010111001
320001111111021122222
42023311130022321
514301041321131
61024443453425
7112065012500
oct21365341271
96044437588
102346042041
11aa4309122
12555827275
132b5075b75
14183815837
15dae6887b
hex8bd5c2b9

2346042041 has 12 divisors (see below), whose sum is σ = 2889603828. Its totient is φ = 1892604672.

The previous prime is 2346041993. The next prime is 2346042059. The reversal of 2346042041 is 1402406432.

It can be written as a sum of positive squares in 2 ways, for example, as 1119571600 + 1226470441 = 33460^2 + 35021^2 .

It is not a de Polignac number, because 2346042041 - 222 = 2341847737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2346042041.

It is not an unprimeable number, because it can be changed into a prime (2346048041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1407356 + ... + 1409021.

It is an arithmetic number, because the mean of its divisors is an integer number (240800319).

Almost surely, 22346042041 is an apocalyptic number.

It is an amenable number.

2346042041 is a deficient number, since it is larger than the sum of its proper divisors (543561787).

2346042041 is a wasteful number, since it uses less digits than its factorization.

2346042041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816408 (or 2816401 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2346042041 is about 48435.9581406211. The cubic root of 2346042041 is about 1328.7560760947.

Adding to 2346042041 its reverse (1402406432), we get a palindrome (3748448473).

The spelling of 2346042041 in words is "two billion, three hundred forty-six million, forty-two thousand, forty-one".

Divisors: 1 7 17 49 119 833 2816377 19714639 47878409 138002473 335148863 2346042041