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3324661164 = 22321149117099
BaseRepresentation
bin1100011000101010…
…0100110110101100
322120200221021201200
43012022210312230
523302103124124
61305523005500
7145250103456
oct30612446654
98520837650
103324661164
111456759160
12789509890
1340ca38236
142377992d6
15146d24bc9
hexc62a4dac

3324661164 has 72 divisors (see below), whose sum is σ = 9187214400. Its totient is φ = 1005362400.

The previous prime is 3324661163. The next prime is 3324661169. The reversal of 3324661164 is 4611664233.

3324661164 is a `hidden beast` number, since 3 + 32 + 4 + 6 + 611 + 6 + 4 = 666.

It is a super-2 number, since 2×33246611642 = 22106743710819669792, which contains 22 as substring.

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

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 (3324661163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185887 + ... + 202985.

It is an arithmetic number, because the mean of its divisors is an integer number (127600200).

Almost surely, 23324661164 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 3324661164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593607200).

3324661164 is an abundant number, since it is smaller than the sum of its proper divisors (5862553236).

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

3324661164 is a wasteful number, since it uses less digits than its factorization.

3324661164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17611 (or 17606 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3324661164 is about 57659.8748177621. The cubic root of 3324661164 is about 1492.5050070958.

The spelling of 3324661164 in words is "three billion, three hundred twenty-four million, six hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 491 982 1473 1964 2946 4419 5401 5892 8838 10802 16203 17099 17676 21604 32406 34198 48609 51297 64812 68396 97218 102594 153891 188089 194436 205188 307782 376178 564267 615564 752356 1128534 1692801 2257068 3385602 6771204 8395609 16791218 25186827 33582436 50373654 75560481 92351699 100747308 151120962 184703398 277055097 302241924 369406796 554110194 831165291 1108220388 1662330582 3324661164