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1340332016 = 244361109293
BaseRepresentation
bin100111111100011…
…1101011111110000
310110102001220212112
41033320331133300
510221111111031
6340555544452
745133430342
oct11770753760
93412056775
101340332016
11628645311
12314a5b128
131848b998a
14ca01d292
157ca0a62b
hex4fe3d7f0

1340332016 has 80 divisors (see below), whose sum is σ = 2734929120. Its totient is φ = 635765760.

The previous prime is 1340332013. The next prime is 1340332031. The reversal of 1340332016 is 6102330431.

It is a super-2 number, since 2×13403320162 = 3592979826229248512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340331982 and 1340332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340332013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4574366 + ... + 4574658.

It is an arithmetic number, because the mean of its divisors is an integer number (34186614).

Almost surely, 21340332016 is an apocalyptic number.

1340332016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1340332016 is an abundant number, since it is smaller than the sum of its proper divisors (1394597104).

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

1340332016 is a wasteful number, since it uses less digits than its factorization.

1340332016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1340332016 is about 36610.5451475391. The cubic root of 1340332016 is about 1102.5648183911.

Adding to 1340332016 its reverse (6102330431), we get a palindrome (7442662447).

The spelling of 1340332016 in words is "one billion, three hundred forty million, three hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 43 61 86 109 122 172 218 244 293 344 436 488 586 688 872 976 1172 1744 2344 2623 4687 4688 5246 6649 9374 10492 12599 13298 17873 18748 20984 25198 26596 31937 35746 37496 41968 50396 53192 63874 71492 74992 100792 106384 127748 142984 201584 255496 285907 285968 510992 571814 768539 1143628 1373291 1537078 1948157 2287256 2746582 3074156 3896314 4574512 5493164 6148312 7792628 10986328 12296624 15585256 21972656 31170512 83770751 167541502 335083004 670166008 1340332016