Search a number
-
+
1340333568 = 2939719
BaseRepresentation
bin100111111100011…
…1101111000000000
310110102002000000000
41033320331320000
510221111133233
6341000000000
745133435020
oct11770757000
93412060000
101340333568
116286464a2
12314a60000
131848ba5b2
14ca01da80
157ca0ad13
hex4fe3de00

1340333568 has 400 divisors, whose sum is σ = 4832488320. Its totient is φ = 362797056.

The previous prime is 1340333557. The next prime is 1340333569. The reversal of 1340333568 is 8653330431.

It is a super-2 number, since 2×13403335682 = 3592988147015221248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340333569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70543863 + ... + 70543881.

Almost surely, 21340333568 is an apocalyptic number.

1340333568 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 1340333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416244160).

1340333568 is an abundant number, since it is smaller than the sum of its proper divisors (3492154752).

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

1340333568 is an frugal number, since it uses more digits than its factorization.

1340333568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1340333568 is about 36610.5663436118. The cubic root of 1340333568 is about 1102.5652439523.

Adding to 1340333568 its reverse (8653330431), we get a palindrome (9993663999).

It can be divided in two parts, 13403 and 33568, that added together give a triangular number (46971 = T306).

The spelling of 1340333568 in words is "one billion, three hundred forty million, three hundred thirty-three thousand, five hundred sixty-eight".