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327322044 = 2232719137499
BaseRepresentation
bin10011100000101…
…000100110111100
3211210220200102200
4103200220212330
51132243301134
652251351500
711053122450
oct2340504674
9753820380
10327322044
11158845995
1291752590
1352a75baa
1431686660
151db09499
hex138289bc

327322044 has 144 divisors (see below), whose sum is σ = 1004640000. Its totient is φ = 87775488.

The previous prime is 327322031. The next prime is 327322049. The reversal of 327322044 is 440223723.

It is a junction number, because it is equal to n+sod(n) for n = 327321999 and 327322017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327322049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655707 + ... + 656205.

Almost surely, 2327322044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327322044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502320000).

327322044 is an abundant number, since it is smaller than the sum of its proper divisors (677317956).

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

327322044 is a wasteful number, since it uses less digits than its factorization.

327322044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 327322044 is about 18092.0436656559. The cubic root of 327322044 is about 689.1679700126.

Adding to 327322044 its reverse (440223723), we get a palindrome (767545767).

The spelling of 327322044 in words is "three hundred twenty-seven million, three hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 137 171 228 252 266 274 342 399 411 499 532 548 684 798 822 959 998 1197 1233 1497 1596 1644 1918 1996 2394 2466 2603 2877 2994 3493 3836 4491 4788 4932 5206 5754 5988 6986 7809 8631 8982 9481 10412 10479 11508 13972 15618 17262 17964 18221 18962 20958 23427 28443 31236 31437 34524 36442 37924 41916 46854 54663 56886 62874 66367 68363 72884 85329 93708 109326 113772 125748 132734 136726 163989 170658 199101 205089 218652 265468 273452 327978 341316 398202 410178 478541 597303 615267 655956 796404 820356 957082 1194606 1230534 1298897 1435623 1914164 2389212 2461068 2597794 2871246 3896691 4306869 5195588 5742492 7793382 8613738 9092279 11690073 15586764 17227476 18184558 23380146 27276837 36369116 46760292 54553674 81830511 109107348 163661022 327322044