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4344885468 = 22337211101739
BaseRepresentation
bin1000000101111100…
…11011000011011100
3102012210200001101000
410002332123003130
532344242313333
61555045550300
7212445626400
oct40276330334
912183601330
104344885468
11192a635840
12a13115390
13543206961
142d308d100
151a669d713
hex102f9b0dc

4344885468 has 288 divisors, whose sum is σ = 14455929600. Its totient is φ = 1115856000.

The previous prime is 4344885407. The next prime is 4344885487. The reversal of 4344885468 is 8645884434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 5879043 + ... + 5879781.

It is an arithmetic number, because the mean of its divisors is an integer number (50194200).

Almost surely, 24344885468 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 4344885468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227964800).

4344885468 is an abundant number, since it is smaller than the sum of its proper divisors (10111044132).

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

4344885468 is a wasteful number, since it uses less digits than its factorization.

4344885468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The square root of 4344885468 is about 65915.7452206982. The cubic root of 4344885468 is about 1631.7718782573.

The spelling of 4344885468 in words is "four billion, three hundred forty-four million, eight hundred eighty-five thousand, four hundred sixty-eight".