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34504225140 = 223572116591619
BaseRepresentation
bin100000001000100111…
…001011000101110100
310022001122210020200110
4200020213023011310
51031131040201030
623503453143020
72331022034400
oct401047130564
9108048706613
1034504225140
11136a6810050
12682b48aa70
13333b5baa88
141954734100
15d6e29e1b0
hex8089cb174

34504225140 has 288 divisors, whose sum is σ = 122863910400. Its totient is φ = 7154407680.

The previous prime is 34504225087. The next prime is 34504225159. The reversal of 34504225140 is 4152240543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34504225098 and 34504225107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21311251 + ... + 21312869.

It is an arithmetic number, because the mean of its divisors is an integer number (426610800).

Almost surely, 234504225140 is an apocalyptic number.

34504225140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34504225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61431955200).

34504225140 is an abundant number, since it is smaller than the sum of its proper divisors (88359685260).

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

34504225140 is a wasteful number, since it uses less digits than its factorization.

34504225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34504225140 its reverse (4152240543), we get a palindrome (38656465683).

The spelling of 34504225140 in words is "thirty-four billion, five hundred four million, two hundred twenty-five thousand, one hundred forty".