Search a number
-
+
327225960 = 23335614967
BaseRepresentation
bin10011100000010…
…001001001101000
3211210201210122000
4103200101021220
51132232212320
652245331000
711052242355
oct2340211150
9753653560
10327225960
1115878a786
1291706a60
1352a41239
143165d62c
151dadac90
hex13811268

327225960 has 128 divisors (see below), whose sum is σ = 1108857600. Its totient is φ = 85812480.

The previous prime is 327225959. The next prime is 327225967. The reversal of 327225960 is 69522723.

327225960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (327225967) 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, 63397 + ... + 68363.

It is an arithmetic number, because the mean of its divisors is an integer number (8662950).

Almost surely, 2327225960 is an apocalyptic number.

327225960 is a gapful number since it is divisible by the number (30) 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 327225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554428800).

327225960 is an abundant number, since it is smaller than the sum of its proper divisors (781631640).

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

327225960 is a wasteful number, since it uses less digits than its factorization.

327225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 327225960 is about 18089.3880493509. The cubic root of 327225960 is about 689.1005293001.

The spelling of 327225960 in words is "three hundred twenty-seven million, two hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 915 1080 1098 1220 1464 1647 1830 2196 2440 2745 3294 3660 4392 4967 5490 6588 7320 8235 9934 10980 13176 14901 16470 19868 21960 24835 29802 32940 39736 44703 49670 59604 65880 74505 89406 99340 119208 134109 149010 178812 198680 223515 268218 298020 302987 357624 447030 536436 596040 605974 670545 894060 908961 1072872 1211948 1341090 1514935 1788120 1817922 2423896 2682180 2726883 3029870 3635844 4544805 5364360 5453766 6059740 7271688 8180649 9089610 10907532 12119480 13634415 16361298 18179220 21815064 27268830 32722596 36358440 40903245 54537660 65445192 81806490 109075320 163612980 327225960