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1340097264 = 243311231827
BaseRepresentation
bin100111111100000…
…0100001011110000
310110101121222212000
41033320010023300
510221031103024
6340550534000
745131432052
oct11770041360
93411558760
101340097264
116284a4a00
12314967300
13184836b7c
14c9d9b8d2
157c9b0cc9
hex4fe042f0

1340097264 has 240 divisors, whose sum is σ = 4369720320. Its totient is φ = 392515200.

The previous prime is 1340097263. The next prime is 1340097287. The reversal of 1340097264 is 4627900431.

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 (1340097263) 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, 1620019 + ... + 1620845.

It is an arithmetic number, because the mean of its divisors is an integer number (18207168).

Almost surely, 21340097264 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 1340097264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184860160).

1340097264 is an abundant number, since it is smaller than the sum of its proper divisors (3029623056).

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

1340097264 is a wasteful number, since it uses less digits than its factorization.

1340097264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1340097264 is about 36607.3389363390. The cubic root of 1340097264 is about 1102.5004451847.

Adding to 1340097264 its reverse (4627900431), we get a palindrome (5967997695).

The spelling of 1340097264 in words is "one billion, three hundred forty million, ninety-seven thousand, two hundred sixty-four".