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264343332 = 223112119491
BaseRepresentation
bin11111100000110…
…00111100100100
3200102102000212210
433300120330210
51020132441312
642121443420
76356611161
oct1760307444
9612360783
10264343332
11126240070
1274640570
13429c5196
1427171068
1518318e3c
hexfc18f24

264343332 has 48 divisors (see below), whose sum is σ = 676134144. Its totient is φ = 79716000.

The previous prime is 264343307. The next prime is 264343349. The reversal of 264343332 is 233343462.

264343332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 264343332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23107 + ... + 32597.

It is an arithmetic number, because the mean of its divisors is an integer number (14086128).

Almost surely, 2264343332 is an apocalyptic number.

264343332 is a gapful number since it is divisible by the number (22) 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 264343332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338067072).

264343332 is an abundant number, since it is smaller than the sum of its proper divisors (411790812).

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

264343332 is a wasteful number, since it uses less digits than its factorization.

264343332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9720 (or 9718 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

The square root of 264343332 is about 16258.6386884019. The cubic root of 264343332 is about 641.7848387592.

Adding to 264343332 its reverse (233343462), we get a palindrome (497686794).

The spelling of 264343332 in words is "two hundred sixty-four million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 633 844 1266 2321 2532 4642 6963 9284 9491 13926 18982 27852 28473 37964 56946 104401 113892 208802 313203 417604 626406 1252812 2002601 4005202 6007803 8010404 12015606 22028611 24031212 44057222 66085833 88114444 132171666 264343332