Search a number
-
+
327606272 = 213729197
BaseRepresentation
bin10011100001101…
…110000000000000
3211211110010022122
4103201232000000
51132331400042
652301423412
711055415220
oct2341560000
9754403278
10327606272
11158a1a494
129186ab68
1352b45386
143171c080
151db637d2
hex1386e000

327606272 has 112 divisors (see below), whose sum is σ = 778520160. Its totient is φ = 134873088.

The previous prime is 327606271. The next prime is 327606281. The reversal of 327606272 is 272606723.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×3276062723 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327606271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662878 + ... + 1663074.

Almost surely, 2327606272 is an apocalyptic number.

327606272 is a gapful number since it is divisible by the number (32) 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 327606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389260080).

327606272 is an abundant number, since it is smaller than the sum of its proper divisors (450913888).

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

327606272 is an equidigital number, since it uses as much as digits as its factorization.

327606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 327606272 is about 18099.8970162816. The cubic root of 327606272 is about 689.3673904992.

The spelling of 327606272 in words is "three hundred twenty-seven million, six hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 197 203 224 232 256 394 406 448 464 512 788 812 896 928 1024 1379 1576 1624 1792 1856 2048 2758 3152 3248 3584 3712 4096 5516 5713 6304 6496 7168 7424 8192 11032 11426 12608 12992 14336 14848 22064 22852 25216 25984 28672 29696 39991 44128 45704 50432 51968 57344 59392 79982 88256 91408 100864 103936 118784 159964 176512 182816 201728 207872 237568 319928 353024 365632 403456 415744 639856 706048 731264 806912 831488 1279712 1412096 1462528 1613824 1662976 2559424 2824192 2925056 5118848 5648384 5850112 10237696 11296768 11700224 20475392 23400448 40950784 46800896 81901568 163803136 327606272