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1344213444 = 22371931101269
BaseRepresentation
bin101000000011111…
…0001000111000100
310110200101010012010
41100013301013010
510223104312234
6341215054220
745211424430
oct12007610704
93420333163
101344213444
1162a856502
12316211370
13185648592
14ca74d9c0
157d0256e9
hex501f11c4

1344213444 has 192 divisors, whose sum is σ = 3948134400. Its totient is φ = 347328000.

The previous prime is 1344213439. The next prime is 1344213467. The reversal of 1344213444 is 4443124431.

It is a super-3 number, since 3×13442134443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4996942 + ... + 4997210.

It is an arithmetic number, because the mean of its divisors is an integer number (20563200).

Almost surely, 21344213444 is an apocalyptic number.

1344213444 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 1344213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974067200).

1344213444 is an abundant number, since it is smaller than the sum of its proper divisors (2603920956).

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

1344213444 is a wasteful number, since it uses less digits than its factorization.

1344213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 1344213444 is about 36663.5165252871. The cubic root of 1344213444 is about 1103.6280876795.

Adding to 1344213444 its reverse (4443124431), we get a palindrome (5787337875).

The spelling of 1344213444 in words is "one billion, three hundred forty-four million, two hundred thirteen thousand, four hundred forty-four".