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1340683344 = 24327111371131
BaseRepresentation
bin100111111101001…
…0011010001010000
310110102201202210200
41033322103101100
510221203331334
6341011255200
745136422540
oct11772232120
93412652720
101340683344
11628865270
12314baa500
131849b0870
14ca0b1320
157ca79799
hex4fe93450

1340683344 has 480 divisors, whose sum is σ = 5147670528. Its totient is φ = 314496000.

The previous prime is 1340683343. The next prime is 1340683367. The reversal of 1340683344 is 4433860431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1340683299 and 1340683308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340683343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10234159 + ... + 10234289.

Almost surely, 21340683344 is an apocalyptic number.

1340683344 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 1340683344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573835264).

1340683344 is an abundant number, since it is smaller than the sum of its proper divisors (3806987184).

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

1340683344 is a wasteful number, since it uses less digits than its factorization.

1340683344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1340683344 is about 36615.3430135510. The cubic root of 1340683344 is about 1102.6611447858.

The spelling of 1340683344 in words is "one billion, three hundred forty million, six hundred eighty-three thousand, three hundred forty-four".