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1343221000 = 235311217653
BaseRepresentation
bin101000000001111…
…1110110100001000
310110121111200210221
41100003332310020
510222331033000
6341141515424
745200122132
oct12003766410
93417450727
101343221000
1162a238900
12315a12b74
1318538b934
14ca572052
157cdcb61a
hex500fed08

1343221000 has 192 divisors, whose sum is σ = 3663681840. Its totient is φ = 459008000.

The previous prime is 1343220997. The next prime is 1343221013. The reversal of 1343221000 is 1223431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46212804 + 1297008196 = 6798^2 + 36014^2 .

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 47 ways as a sum of consecutive naturals, for example, 2056674 + ... + 2057326.

Almost surely, 21343221000 is an apocalyptic number.

1343221000 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 1343221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831840920).

1343221000 is an abundant number, since it is smaller than the sum of its proper divisors (2320460840).

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

1343221000 is a wasteful number, since it uses less digits than its factorization.

1343221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1343221000 is about 36649.9795361471. The cubic root of 1343221000 is about 1103.3564148677.

Adding to 1343221000 its reverse (1223431), we get a palindrome (1344444431).

The spelling of 1343221000 in words is "one billion, three hundred forty-three million, two hundred twenty-one thousand".