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1344002220 = 2234511199379
BaseRepresentation
bin101000000011011…
…1101100010101100
310110122222101110000
41100012331202230
510223031032340
6341210344300
745206554551
oct12006754254
93418871400
101344002220
1162a721840
1231612b090
131855a33b2
14ca6d6a28
157ced2d30
hex501bd8ac

1344002220 has 240 divisors, whose sum is σ = 4634784000. Its totient is φ = 323326080.

The previous prime is 1344002213. The next prime is 1344002237. The reversal of 1344002220 is 222004431.

1344002220 is a `hidden beast` number, since 1 + 3 + 440 + 0 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1344002193 and 1344002202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3545991 + ... + 3546369.

It is an arithmetic number, because the mean of its divisors is an integer number (19311600).

Almost surely, 21344002220 is an apocalyptic number.

1344002220 is a gapful number since it is divisible by the number (10) 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 1344002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317392000).

1344002220 is an abundant number, since it is smaller than the sum of its proper divisors (3290781780).

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

1344002220 is a wasteful number, since it uses less digits than its factorization.

1344002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1344002220 is about 36660.6358373665. The cubic root of 1344002220 is about 1103.5702781723.

Adding to 1344002220 its reverse (222004431), we get a palindrome (1566006651).

The spelling of 1344002220 in words is "one billion, three hundred forty-four million, two thousand, two hundred twenty".