Search a number
-
+
1340973792 = 25341973373
BaseRepresentation
bin100111111101101…
…1010001011100000
310110110021112020000
41033323122023200
510221242130132
6341021420000
745142042404
oct11773321340
93413245200
101340973792
11628a43504
1231510a600
13184a82b22
14ca149104
157cad587c
hex4feda2e0

1340973792 has 240 divisors, whose sum is σ = 4219482960. Its totient is φ = 416544768.

The previous prime is 1340973763. The next prime is 1340973793. The reversal of 1340973792 is 2973790431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340973793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3594918 + ... + 3595290.

It is an arithmetic number, because the mean of its divisors is an integer number (17581179).

Almost surely, 21340973792 is an apocalyptic number.

1340973792 is a gapful number since it is divisible by the number (12) 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 1340973792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109741480).

1340973792 is an abundant number, since it is smaller than the sum of its proper divisors (2878509168).

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

1340973792 is a wasteful number, since it uses less digits than its factorization.

1340973792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1340973792 is about 36619.3090049498. The cubic root of 1340973792 is about 1102.7407665202.

The spelling of 1340973792 in words is "one billion, three hundred forty million, nine hundred seventy-three thousand, seven hundred ninety-two".