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1340012322 = 23511222787
BaseRepresentation
bin100111111011110…
…1111011100100010
310110101110200100000
41033313233130202
510221020343242
6340545040430
745130626315
oct11767573442
93411420300
101340012322
11628447100
12314926116
131848072cc
14c9d7897c
157c995a4c
hex4fdef722

1340012322 has 72 divisors (see below), whose sum is σ = 3309637968. Its totient is φ = 406046520.

The previous prime is 1340012291. The next prime is 1340012339. The reversal of 1340012322 is 2232100431.

1340012322 is a `hidden beast` number, since 1 + 340 + 0 + 1 + 2 + 322 = 666.

It is a super-2 number, since 2×13400123222 = 3591266046223663368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1340012295 and 1340012304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47413 + ... + 70199.

It is an arithmetic number, because the mean of its divisors is an integer number (45967194).

Almost surely, 21340012322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340012322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654818984).

1340012322 is an abundant number, since it is smaller than the sum of its proper divisors (1969625646).

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

1340012322 is a wasteful number, since it uses less digits than its factorization.

1340012322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22826 (or 22803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340012322 is about 36606.1787407536. The cubic root of 1340012322 is about 1102.4771507135.

Adding to 1340012322 its reverse (2232100431), we get a palindrome (3572112753).

The spelling of 1340012322 in words is "one billion, three hundred forty million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1089 1782 2178 2673 3267 5346 6534 9801 19602 22787 29403 45574 58806 68361 136722 205083 250657 410166 501314 615249 751971 1230498 1503942 1845747 2255913 2757227 3691494 4511826 5514454 5537241 6767739 8271681 11074482 13535478 16543362 20303217 24815043 40606434 49630086 60909651 74445129 121819302 148890258 223335387 446670774 670006161 1340012322