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1343485440 = 29345111931
BaseRepresentation
bin101000000010011…
…1111011000000000
310110122000010120000
41100010333120000
510222413013230
6341151320000
745202303113
oct12004773000
93418003500
101343485440
1162a3a9550
12315b20000
131854520cb
14ca60057a
157ce2eb60
hex5013f600

1343485440 has 800 divisors, whose sum is σ = 5703920640. Its totient is φ = 298598400.

The previous prime is 1343485433. The next prime is 1343485463. The reversal of 1343485440 is 445843431.

1343485440 is a `hidden beast` number, since 134 + 3 + 4 + 85 + 440 = 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 = 1343485395 and 1343485404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43338225 + ... + 43338255.

Almost surely, 21343485440 is an apocalyptic number.

1343485440 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 1343485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851960320).

1343485440 is an abundant number, since it is smaller than the sum of its proper divisors (4360435200).

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

1343485440 is a wasteful number, since it uses less digits than its factorization.

1343485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1343485440 is about 36653.5870004560. The cubic root of 1343485440 is about 1103.4288160649.

The spelling of 1343485440 in words is "one billion, three hundred forty-three million, four hundred eighty-five thousand, four hundred forty".