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1342786368 = 263711223359
BaseRepresentation
bin101000000001001…
…0100101101000000
310110120200121121110
41100002110231000
510222223130433
6341124323320
745163332030
oct12002245500
93416617543
101342786368
11629a71300
12315843540
13185268b61
14ca49b8c0
157cd42963
hex50094b40

1342786368 has 336 divisors, whose sum is σ = 4670023680. Its totient is φ = 332682240.

The previous prime is 1342786363. The next prime is 1342786387. The reversal of 1342786368 is 8636872431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (1342786363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3740173 + ... + 3740531.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 21342786368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335011840).

1342786368 is an abundant number, since it is smaller than the sum of its proper divisors (3327237312).

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

1342786368 is a wasteful number, since it uses less digits than its factorization.

1342786368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 405 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 1342786368 is about 36644.0495578750. The cubic root of 1342786368 is about 1103.2373960469.

The spelling of 1342786368 in words is "one billion, three hundred forty-two million, seven hundred eighty-six thousand, three hundred sixty-eight".