Search a number
-
+
1342963440 = 24325713103199
BaseRepresentation
bin101000000001011…
…1111111011110000
310110121000121111200
41100002333323300
510222244312230
6341132211200
745165000210
oct12002777360
93417017450
101342963440
1162a082345
12315909b00
131852cb630
14ca506240
157cd7a160
hex500bfef0

1342963440 has 480 divisors, whose sum is σ = 5632972800. Its totient is φ = 279189504.

The previous prime is 1342963439. The next prime is 1342963451. The reversal of 1342963440 is 443692431.

It is a happy number.

1342963440 is a `hidden beast` number, since 13 + 4 + 2 + 9 + 634 + 4 + 0 = 666.

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 = 1342963395 and 1342963404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6748461 + ... + 6748659.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 21342963440 is an apocalyptic number.

1342963440 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 1342963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816486400).

1342963440 is an abundant number, since it is smaller than the sum of its proper divisors (4290009360).

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

1342963440 is a wasteful number, since it uses less digits than its factorization.

1342963440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1342963440 is about 36646.4655867384. The cubic root of 1342963440 is about 1103.2858882148.

The spelling of 1342963440 in words is "one billion, three hundred forty-two million, nine hundred sixty-three thousand, four hundred forty".