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34413300520 = 2355934914177
BaseRepresentation
bin100000000011001100…
…010100101100101000
310021211022200210112221
4200003030110230220
51030434301104040
623450444243424
72325536141134
oct400314245450
9107738623487
1034413300520
111365a458035
126804b40574
133325804021
1419466263c4
15d662dd74a
hex803314b28

34413300520 has 64 divisors (see below), whose sum is σ = 78783710400. Its totient is φ = 13524894720.

The previous prime is 34413300499. The next prime is 34413300527. The reversal of 34413300520 is 2500331443.

It is not an unprimeable number, because it can be changed into a prime (34413300527) 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, 8236672 + ... + 8240848.

It is an arithmetic number, because the mean of its divisors is an integer number (1230995475).

Almost surely, 234413300520 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 34413300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39391855200).

34413300520 is an abundant number, since it is smaller than the sum of its proper divisors (44370409880).

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

34413300520 is a wasteful number, since it uses less digits than its factorization.

34413300520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34413300520 its reverse (2500331443), we get a palindrome (36913631963).

The spelling of 34413300520 in words is "thirty-four billion, four hundred thirteen million, three hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 3491 4177 6982 8354 13964 16708 17455 20885 27928 33416 34910 41770 69820 83540 139640 167080 205969 246443 411938 492886 823876 985772 1029845 1232215 1647752 1971544 2059690 2464430 4119380 4928860 8238760 9857720 14581907 29163814 58327628 72909535 116655256 145819070 291638140 583276280 860332513 1720665026 3441330052 4301662565 6882660104 8603325130 17206650260 34413300520