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1321340340 = 22352329137241
BaseRepresentation
bin100111011000010…
…0000110110110100
310102002100001012010
41032300200312310
510201230342330
6335040524220
744513131125
oct11660406664
93362301163
101321340340
11618953611
1230a620670
1318099a4b8
14c76b804c
157b0083b0
hex4ec20db4

1321340340 has 192 divisors, whose sum is σ = 4039580160. Its totient is φ = 321699840.

The previous prime is 1321340323. The next prime is 1321340353. The reversal of 1321340340 is 430431231.

It is a super-2 number, since 2×13213403402 = 3491880588222631200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5482620 + ... + 5482860.

It is an arithmetic number, because the mean of its divisors is an integer number (21039480).

Almost surely, 21321340340 is an apocalyptic number.

1321340340 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 1321340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019790080).

1321340340 is an abundant number, since it is smaller than the sum of its proper divisors (2718239820).

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

1321340340 is a wasteful number, since it uses less digits than its factorization.

1321340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1321340340 is about 36350.2453911937. The cubic root of 1321340340 is about 1097.3324730499.

Adding to 1321340340 its reverse (430431231), we get a palindrome (1751771571).

The spelling of 1321340340 in words is "one billion, three hundred twenty-one million, three hundred forty thousand, three hundred forty".