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10323433344 = 273723374513
BaseRepresentation
bin10011001110101001…
…10001011110000000
3222122110100202021010
421213110301132000
5132120244331334
64424215000520
7513552510210
oct114724613600
928573322233
1010323433344
1144183442a4
122001369140
13c86a01353
146dd0b6240
1540649a0e9
hex267531780

10323433344 has 256 divisors, whose sum is σ = 33592826880. Its totient is φ = 2744451072.

The previous prime is 10323433339. The next prime is 10323433397. The reversal of 10323433344 is 44333432301.

It is a super-3 number, since 3×103234333443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285232 + ... + 2289744.

It is an arithmetic number, because the mean of its divisors is an integer number (131221980).

Almost surely, 210323433344 is an apocalyptic number.

10323433344 is a gapful number since it is divisible by the number (14) 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 10323433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796413440).

10323433344 is an abundant number, since it is smaller than the sum of its proper divisors (23269393536).

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

10323433344 is a wasteful number, since it uses less digits than its factorization.

10323433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4585 counting only the distinct ones).

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

Adding to 10323433344 its reverse (44333432301), we get a palindrome (54656865645).

The spelling of 10323433344 in words is "ten billion, three hundred twenty-three million, four hundred thirty-three thousand, three hundred forty-four".