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1343047680 = 211325131959
BaseRepresentation
bin101000000001101…
…0100100000000000
310110121011220001200
41100003110200000
510222310011210
6341134101200
745165500622
oct12003244000
93417156050
101343047680
1162a12a667
1231594a800
1318532aa90
14ca528c12
157cd950c0
hex500d4800

1343047680 has 576 divisors, whose sum is σ = 5366088000. Its totient is φ = 307888128.

The previous prime is 1343047679. The next prime is 1343047691. The reversal of 1343047680 is 867403431.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22763491 + ... + 22763549.

It is an arithmetic number, because the mean of its divisors is an integer number (9316125).

Almost surely, 21343047680 is an apocalyptic number.

1343047680 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 1343047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044000).

1343047680 is an abundant number, since it is smaller than the sum of its proper divisors (4023040320).

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

1343047680 is a wasteful number, since it uses less digits than its factorization.

1343047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1343047680 is about 36647.6149292147. The cubic root of 1343047680 is about 1103.3089563185.

The spelling of 1343047680 in words is "one billion, three hundred forty-three million, forty-seven thousand, six hundred eighty".