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4344000000 = 29356181
BaseRepresentation
bin1000000101110110…
…00010111000000000
3102012202000001201220
410002323002320000
532344031000000
61555014555040
7212435251014
oct40273027000
912182001656
104344000000
11192a09054a
12a12968a80
13542c86902
142d2cdc544
151a65761a0
hex102ec2e00

4344000000 has 280 divisors, whose sum is σ = 14545595064. Its totient is φ = 1152000000.

The previous prime is 4343999993. The next prime is 4344000013. The reversal of 4344000000 is 4434.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999910 + ... + 24000090.

Almost surely, 24344000000 is an apocalyptic number.

4344000000 is a gapful number since it is divisible by the number (40) 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 4344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272797532).

4344000000 is an abundant number, since it is smaller than the sum of its proper divisors (10201595064).

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

4344000000 is an frugal number, since it uses more digits than its factorization.

4344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4344000000 is about 65909.0282131363. The cubic root of 4344000000 is about 1631.6610214843.

Adding to 4344000000 its reverse (4434), we get a palindrome (4344004434).

The spelling of 4344000000 in words is "four billion, three hundred forty-four million", and thus it is an aban number.