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1322115340 = 225713739983
BaseRepresentation
bin100111011001101…
…1110000100001100
310102010210102021211
41032303132010030
510201430142330
6335105304204
744522536450
oct11663360414
93363712254
101322115340
11619332907
1230a935064
13180bac190
14c783a660
157b10cd2a
hex4ecde10c

1322115340 has 96 divisors (see below), whose sum is σ = 3425264640. Its totient is φ = 417436416.

The previous prime is 1322115317. The next prime is 1322115341. The reversal of 1322115340 is 435112231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1322115341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344489 + ... + 1345471.

It is an arithmetic number, because the mean of its divisors is an integer number (35679840).

Almost surely, 21322115340 is an apocalyptic number.

1322115340 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 1322115340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712632320).

1322115340 is an abundant number, since it is smaller than the sum of its proper divisors (2103149300).

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

1322115340 is a wasteful number, since it uses less digits than its factorization.

1322115340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1322115340 is about 36360.9040041636. The cubic root of 1322115340 is about 1097.5469689998.

Adding to 1322115340 its reverse (435112231), we get a palindrome (1757227571).

It can be divided in two parts, 13221 and 15340, that added together give a 4-th power (28561 = 134).

The spelling of 1322115340 in words is "one billion, three hundred twenty-two million, one hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 739 910 983 1478 1820 1966 2956 3695 3932 4915 5173 6881 7390 9607 9830 10346 12779 13762 14780 19214 19660 20692 25558 25865 27524 34405 38428 48035 51116 51730 63895 67249 68810 89453 96070 103460 127790 134498 137620 178906 192140 255580 268996 336245 357812 447265 672490 726437 894530 1344980 1452874 1789060 2905748 3632185 5085059 7264370 9443681 10170118 14528740 18887362 20340236 25425295 37774724 47218405 50850590 66105767 94436810 101701180 132211534 188873620 264423068 330528835 661057670 1322115340