Search a number
-
+
3291113088 = 273216717107
BaseRepresentation
bin1100010000101010…
…0110011010000000
322111100210212102100
43010022212122000
523220011104323
61302323550400
7144361666614
oct30412463200
98440725370
103291113088
111439824a7a
1277a22b400
13405ac02c3
14233145344
15143de9943
hexc42a6680

3291113088 has 96 divisors (see below), whose sum is σ = 9527787360. Its totient is φ = 1090404864.

The previous prime is 3291113081. The next prime is 3291113123. The reversal of 3291113088 is 8803111923.

It is a tau number, because it is divible by the number of its divisors (96).

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 (3291113081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183831 + ... + 200937.

It is an arithmetic number, because the mean of its divisors is an integer number (99247785).

Almost surely, 23291113088 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 3291113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763893680).

3291113088 is an abundant number, since it is smaller than the sum of its proper divisors (6236674272).

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

3291113088 is a wasteful number, since it uses less digits than its factorization.

3291113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17294 (or 17279 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 3291113088 is about 57368.2236782698. The cubic root of 3291113088 is about 1487.4678985422.

The spelling of 3291113088 in words is "three billion, two hundred ninety-one million, one hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 288 334 384 501 576 668 1002 1152 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 17107 21376 24048 32064 34214 48096 51321 64128 68428 96192 102642 136856 153963 192384 205284 273712 307926 410568 547424 615852 821136 1094848 1231704 1642272 2189696 2463408 2856869 3284544 4926816 5713738 6569088 8570607 9853632 11427476 17141214 19707264 22854952 25711821 34282428 45709904 51423642 68564856 91419808 102847284 137129712 182839616 205694568 274259424 365679232 411389136 548518848 822778272 1097037696 1645556544 3291113088