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1341327372 = 2237211297151
BaseRepresentation
bin100111111110011…
…0000100000001100
310110110221111020120
41033330300200030
510221334433442
6341033144540
745145044300
oct11774604014
93413844216
101341327372
11629165120
1231525b150
13184b77a48
14ca1dbd00
157cb554ec
hex4ff3080c

1341327372 has 144 divisors (see below), whose sum is σ = 4109253120. Its totient is φ = 336336000.

The previous prime is 1341327347. The next prime is 1341327373. The reversal of 1341327372 is 2737231431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1341327373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183997 + ... + 191147.

It is an arithmetic number, because the mean of its divisors is an integer number (28536480).

Almost surely, 21341327372 is an apocalyptic number.

1341327372 is a gapful number since it is divisible by the number (12) 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 1341327372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054626560).

1341327372 is an abundant number, since it is smaller than the sum of its proper divisors (2767925748).

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

1341327372 is a wasteful number, since it uses less digits than its factorization.

1341327372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212 (or 7203 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 1341327372 is about 36624.1364676357. The cubic root of 1341327372 is about 1102.8376793801.

The spelling of 1341327372 in words is "one billion, three hundred forty-one million, three hundred twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 49 58 66 77 84 87 98 116 132 147 154 174 196 203 231 294 308 319 348 406 462 539 588 609 638 812 924 957 1078 1218 1276 1421 1617 1914 2156 2233 2436 2842 3234 3828 4263 4466 5684 6468 6699 7151 8526 8932 13398 14302 15631 17052 21453 26796 28604 31262 42906 46893 50057 62524 78661 85812 93786 100114 150171 157322 187572 200228 207379 235983 300342 314644 350399 414758 471966 550627 600684 622137 700798 829516 943932 1051197 1101254 1244274 1401596 1451653 1651881 2102394 2202508 2281169 2488548 2903306 3303762 3854389 4204788 4354959 4562338 5806612 6607524 6843507 7708778 8709918 9124676 10161571 11563167 13687014 15417556 15968183 17419836 20323142 23126334 27374028 30484713 31936366 40646284 46252668 47904549 60969426 63872732 95809098 111777281 121938852 191618196 223554562 335331843 447109124 670663686 1341327372