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34226698248 = 2332218032
BaseRepresentation
bin11111111000000100…
…011111100000001000
310021100022120102100200
4133320010133200020
51030044013320443
623420140532200
72321112064161
oct377004374010
9107308512320
1034226698248
1113574095a86
126772551060
1332c5c5ac92
141929930768
15d54c2ddd3
hex7f811f808

34226698248 has 36 divisors (see below), whose sum is σ = 92701559535. Its totient is φ = 11408376144.

The previous prime is 34226698241. The next prime is 34226698267. The reversal of 34226698248 is 84289662243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17113349124 + 17113349124 = 130818^2 + 130818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=130818.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34226698194 and 34226698203.

It is not an unprimeable number, because it can be changed into a prime (34226698241) 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, 1558915 + ... + 1580717.

Almost surely, 234226698248 is an apocalyptic number.

It is an amenable number.

34226698248 is an abundant number, since it is smaller than the sum of its proper divisors (58474861287).

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

34226698248 is an frugal number, since it uses more digits than its factorization.

34226698248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43618 (or 21808 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 34226698248 in words is "thirty-four billion, two hundred twenty-six million, six hundred ninety-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21803 43606 65409 87212 130818 174424 196227 261636 392454 523272 784908 1569816 475370809 950741618 1426112427 1901483236 2852224854 3802966472 4278337281 5704449708 8556674562 11408899416 17113349124 34226698248