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34228268082 = 232436072
BaseRepresentation
bin11111111000001010…
…011110110000110010
310021100102112011202200
4133320022132300302
51030044414034312
623420234324030
72321131323021
oct377012366062
9107312464680
1034228268082
1113574a68468
126772b89616
1332c638a688
141929c1c8b8
15d54e3e0dc
hex7f829ec32

34228268082 has 18 divisors (see below), whose sum is σ = 74162948223. Its totient is φ = 11409161052.

The previous prime is 34228268033. The next prime is 34228268131. The reversal of 34228268082 is 28086282243.

It is an interprime number because it is at equal distance from previous prime (34228268033) and next prime (34228268131).

It can be written as a sum of positive squares in only one way, i.e., 17114134041 + 17114134041 = 130821^2 + 130821^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=130821.

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 8 ways as a sum of consecutive naturals, for example, 763123 + ... + 806729.

Almost surely, 234228268082 is an apocalyptic number.

34228268082 is an abundant number, since it is smaller than the sum of its proper divisors (39934680141).

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

34228268082 is an frugal number, since it uses more digits than its factorization.

34228268082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87222 (or 43612 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 34228268082 in words is "thirty-four billion, two hundred twenty-eight million, two hundred sixty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 18 43607 87214 130821 261642 392463 784926 1901570449 3803140898 5704711347 11409422694 17114134041 34228268082