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34328307841 = 41245192
BaseRepresentation
bin11111111110001000…
…000110100010000001
310021121101202201111221
4133332020012202001
51030301021322331
623434210435041
72323454542102
oct377610064201
9107541681457
1034328307841
1113616486853
1267a0592a81
1333110162b9
1419392203a9
15d5db00711
hex7fe206881

34328307841 has 9 divisors (see below), whose sum is σ = 35193792963. Its totient is φ = 33483620880.

The previous prime is 34328307787. The next prime is 34328307877. The reversal of 34328307841 is 14870382343.

The square root of 34328307841 is 185279.

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

It can be written as a sum of positive squares in only one way, i.e., 1654130241 + 32674177600 = 40671^2 + 180760^2 .

It is not a de Polignac number, because 34328307841 - 229 = 33791436929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34328307341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7594180 + ... + 7598698.

Almost surely, 234328307841 is an apocalyptic number.

34328307841 is the 185279-th square number.

34328307841 is the 92640-th centered octagonal number.

It is an amenable number.

34328307841 is a deficient number, since it is larger than the sum of its proper divisors (865485122).

34328307841 is an frugal number, since it uses more digits than its factorization.

34328307841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 34328307841 in words is "thirty-four billion, three hundred twenty-eight million, three hundred seven thousand, eight hundred forty-one".

Divisors: 1 41 1681 4519 185279 7596439 20421361 837275801 34328307841