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34524421120 = 210572959563
BaseRepresentation
bin100000001001110100…
…001101110000000000
310022010001210022100201
4200021310031300000
51031201222433440
623505454054544
72331355510660
oct401164156000
9108101708321
1034524421120
1113707154642
1268361aa454
13334283c467
1419572b01a0
15d70e3d19a
hex809d0dc00

34524421120 has 352 divisors, whose sum is σ = 99749491200. Its totient is φ = 11215110144.

The previous prime is 34524421111. The next prime is 34524421121. The reversal of 34524421120 is 2112442543.

It is a super-2 number, since 2×345244211202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34524421121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61321959 + ... + 61322521.

Almost surely, 234524421120 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 34524421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49874745600).

34524421120 is an abundant number, since it is smaller than the sum of its proper divisors (65225070080).

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

34524421120 is a wasteful number, since it uses less digits than its factorization.

34524421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 34524421120 its reverse (2112442543), we get a palindrome (36636863663).

The spelling of 34524421120 in words is "thirty-four billion, five hundred twenty-four million, four hundred twenty-one thousand, one hundred twenty".