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1343026656 = 253417291051
BaseRepresentation
bin101000000001100…
…1111010111100000
310110121010211020000
41100003033113200
510222303323111
6341133420000
745165352416
oct12003172740
93417124200
101343026656
1162a115894
1231593a600
1318532133a
14ca5212b6
157cd8dc56
hex500cf5e0

1343026656 has 240 divisors, whose sum is σ = 4330473840. Its totient is φ = 406425600.

The previous prime is 1343026637. The next prime is 1343026661. The reversal of 1343026656 is 6566203431.

1343026656 is a `hidden beast` number, since 1 + 343 + 0 + 266 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1343026656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277331 + ... + 1278381.

It is an arithmetic number, because the mean of its divisors is an integer number (18043641).

Almost surely, 21343026656 is an apocalyptic number.

1343026656 is a gapful number since it is divisible by the number (16) 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 1343026656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165236920).

1343026656 is an abundant number, since it is smaller than the sum of its proper divisors (2987447184).

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

1343026656 is a wasteful number, since it uses less digits than its factorization.

1343026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1102 counting only the distinct ones).

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

The square root of 1343026656 is about 36647.3280881431. The cubic root of 1343026656 is about 1103.3031992411.

The spelling of 1343026656 in words is "one billion, three hundred forty-three million, twenty-six thousand, six hundred fifty-six".