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1344126420 = 22335713171609
BaseRepresentation
bin101000000011101…
…1011110111010100
310110200012200211000
41100013123313110
510223044021140
6341213143300
745210612630
oct12007336724
93420180730
101344126420
1162a7a708a
1231618ab30
13185617aa0
14ca729dc0
157d009a30
hex501dbdd4

1344126420 has 384 divisors, whose sum is σ = 5452876800. Its totient is φ = 266747904.

The previous prime is 1344126419. The next prime is 1344126457. The reversal of 1344126420 is 246214431.

It is a happy number.

1344126420 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 12 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 834576 + ... + 836184.

It is an arithmetic number, because the mean of its divisors is an integer number (14200200).

Almost surely, 21344126420 is an apocalyptic number.

1344126420 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 1344126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726438400).

1344126420 is an abundant number, since it is smaller than the sum of its proper divisors (4108750380).

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

1344126420 is a wasteful number, since it uses less digits than its factorization.

1344126420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1344126420 is about 36662.3297132084. The cubic root of 1344126420 is about 1103.6042709750.

The spelling of 1344126420 in words is "one billion, three hundred forty-four million, one hundred twenty-six thousand, four hundred twenty".