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1342268928 = 29337111397
BaseRepresentation
bin101000000000001…
…0110011000000000
310110112201022211000
41100000112120000
510222110101203
6341105252000
745156045330
oct12000263000
93415638730
101342268928
11629748570
12315634000
13185117490
14ca3a50c0
157cc8e4a3
hex50016600

1342268928 has 640 divisors, whose sum is σ = 5389655040. Its totient is φ = 318504960.

The previous prime is 1342268923. The next prime is 1342268957. The reversal of 1342268928 is 8298622431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342268923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13837776 + ... + 13837872.

It is an arithmetic number, because the mean of its divisors is an integer number (8421336).

Almost surely, 21342268928 is an apocalyptic number.

1342268928 is a gapful number since it is divisible by the number (18) 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 1342268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694827520).

1342268928 is an abundant number, since it is smaller than the sum of its proper divisors (4047386112).

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

1342268928 is a wasteful number, since it uses less digits than its factorization.

1342268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1342268928 is about 36636.9885225301. The cubic root of 1342268928 is about 1103.0956677437.

The spelling of 1342268928 in words is "one billion, three hundred forty-two million, two hundred sixty-eight thousand, nine hundred twenty-eight".