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1343600640 = 21132561239
BaseRepresentation
bin101000000010101…
…1011100000000000
310110122012222120200
41100011123200000
510222430210030
6341154005200
745203263014
oct12005334000
93418188520
101343600640
1162a478058
12315b76800
13185492685
14ca630544
157ce53d60
hex5015b800

1343600640 has 288 divisors, whose sum is σ = 4752820800. Its totient is φ = 350945280.

The previous prime is 1343600633. The next prime is 1343600689. The reversal of 1343600640 is 460063431.

1343600640 is a `hidden beast` number, since 13 + 4 + 3 + 6 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5621641 + ... + 5621879.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850).

Almost surely, 21343600640 is an apocalyptic number.

1343600640 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 1343600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

1343600640 is an abundant number, since it is smaller than the sum of its proper divisors (3409220160).

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

1343600640 is a wasteful number, since it uses less digits than its factorization.

1343600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1343600640 is about 36655.1584364329. The cubic root of 1343600640 is about 1103.4603537758.

The spelling of 1343600640 in words is "one billion, three hundred forty-three million, six hundred thousand, six hundred forty".