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34228398080 = 211537611481
BaseRepresentation
bin11111111000001010…
…111110100000000000
310021100102202210002102
4133320022332200000
51030044432214310
623420241205532
72321132404022
oct377012764000
9107312683072
1034228398080
11135750470a8
1267730308a8
1332c64048b6
141929c54012
15d54e678a5
hex7f82be800

34228398080 has 192 divisors, whose sum is σ = 85788415440. Its totient is φ = 13094092800.

The previous prime is 34228398073. The next prime is 34228398089. The reversal of 34228398080 is 8089382243.

It can be written as a sum of positive squares in 8 ways, for example, as 11036763136 + 23191634944 = 105056^2 + 152288^2 .

It is not an unprimeable number, because it can be changed into a prime (34228398089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23110940 + ... + 23112420.

Almost surely, 234228398080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34228398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42894207720).

34228398080 is an abundant number, since it is smaller than the sum of its proper divisors (51560017360).

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

34228398080 is a wasteful number, since it uses less digits than its factorization.

34228398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 34228398080 in words is "thirty-four billion, two hundred twenty-eight million, three hundred ninety-eight thousand, eighty".