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10324434330 = 23257191239359
BaseRepresentation
bin10011001110110001…
…00101110110011010
3222122112020121100200
421213120211312122
5132121023344310
64424252243030
7513564146430
oct114730456632
928575217320
1010324434330
114418968361
122001770476
13c86c91b52
146dd296d50
154065e69c0
hex267625d9a

10324434330 has 192 divisors, whose sum is σ = 31054233600. Its totient is φ = 2331181440.

The previous prime is 10324434283. The next prime is 10324434347. The reversal of 10324434330 is 3343442301.

10324434330 is a `hidden beast` number, since 1 + 0 + 324 + 4 + 3 + 4 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10324434294 and 10324434303.

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, 28758691 + ... + 28759049.

It is an arithmetic number, because the mean of its divisors is an integer number (161740800).

Almost surely, 210324434330 is an apocalyptic number.

10324434330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10324434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527116800).

10324434330 is an abundant number, since it is smaller than the sum of its proper divisors (20729799270).

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

10324434330 is a wasteful number, since it uses less digits than its factorization.

10324434330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10324434330 its reverse (3343442301), we get a palindrome (13667876631).

The spelling of 10324434330 in words is "ten billion, three hundred twenty-four million, four hundred thirty-four thousand, three hundred thirty".