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3230116464 = 2431093072011
BaseRepresentation
bin1100000010000111…
…1010101001110000
322100010000220210010
43000201322221300
523103402211324
61252304334520
7143021352111
oct30041725160
98303026703
103230116464
111408353343
12761914440
133c6284823
14228dc8208
1513d89b829
hexc087aa70

3230116464 has 80 divisors (see below), whose sum is σ = 8452653440. Its totient is φ = 1062823680.

The previous prime is 3230116457. The next prime is 3230116507. The reversal of 3230116464 is 4646110323.

It is a super-4 number, since 4×32301164644 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605219 + ... + 1607229.

It is an arithmetic number, because the mean of its divisors is an integer number (105658168).

Almost surely, 23230116464 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 3230116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226326720).

3230116464 is an abundant number, since it is smaller than the sum of its proper divisors (5222536976).

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

3230116464 is a wasteful number, since it uses less digits than its factorization.

3230116464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3230116464 is about 56834.1135586718. The cubic root of 3230116464 is about 1478.2210888634.

Adding to 3230116464 its reverse (4646110323), we get a palindrome (7876226787).

The spelling of 3230116464 in words is "three billion, two hundred thirty million, one hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 307 327 436 614 654 872 921 1228 1308 1744 1842 2011 2456 2616 3684 4022 4912 5232 6033 7368 8044 12066 14736 16088 24132 32176 33463 48264 66926 96528 100389 133852 200778 219199 267704 401556 438398 535408 617377 657597 803112 876796 1234754 1315194 1606224 1753592 1852131 2469508 2630388 3507184 3704262 4939016 5260776 7408524 9878032 10521552 14817048 29634096 67294093 134588186 201882279 269176372 403764558 538352744 807529116 1076705488 1615058232 3230116464