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2933439345 = 32575786113
BaseRepresentation
bin1010111011011000…
…1011101101110001
321120102210011021200
42232312023231301
522001430024340
61203025441413
7132456552204
oct25666135561
97512704250
102933439345
111275939441
1269a4a0269
1337997b335
141db83b93b
151227e7330
hexaed8bb71

2933439345 has 24 divisors (see below), whose sum is σ = 5091404136. Its totient is φ = 1562416128.

The previous prime is 2933439329. The next prime is 2933439361. The reversal of 2933439345 is 5439343392.

It is an interprime number because it is at equal distance from previous prime (2933439329) and next prime (2933439361).

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 2933197281 = 492^2 + 54159^2 .

It is not a de Polignac number, because 2933439345 - 24 = 2933439329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2933439345.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8992 + ... + 77121.

It is an arithmetic number, because the mean of its divisors is an integer number (212141839).

Almost surely, 22933439345 is an apocalyptic number.

It is an amenable number.

2933439345 is a deficient number, since it is larger than the sum of its proper divisors (2157964791).

2933439345 is a wasteful number, since it uses less digits than its factorization.

2933439345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86881 (or 86878 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 45.

The square root of 2933439345 is about 54161.2347071224. The cubic root of 2933439345 is about 1431.5033572703.

The spelling of 2933439345 in words is "two billion, nine hundred thirty-three million, four hundred thirty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 757 2271 3785 6813 11355 34065 86113 258339 430565 775017 1291695 3875085 65187541 195562623 325937705 586687869 977813115 2933439345