Search a number
-
+
164109324 = 223231075557
BaseRepresentation
bin10011100100000…
…01110000001100
3102102210121200010
421302001300030
5314002444244
624141233220
74031622561
oct1162016014
9372717603
10164109324
11846a9845
1246b62810
1327ccc012
1417b1c868
15e619eb9
hex9c81c0c

164109324 has 48 divisors (see below), whose sum is σ = 403377408. Its totient is φ = 51826368.

The previous prime is 164109293. The next prime is 164109349. The reversal of 164109324 is 423901461.

It is a junction number, because it is equal to n+sod(n) for n = 164109291 and 164109300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26754 + ... + 32310.

It is an arithmetic number, because the mean of its divisors is an integer number (8403696).

Almost surely, 2164109324 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 164109324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201688704).

164109324 is an abundant number, since it is smaller than the sum of its proper divisors (239268084).

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

164109324 is a wasteful number, since it uses less digits than its factorization.

164109324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 164109324 is about 12810.5161488521. The cubic root of 164109324 is about 547.4919679395.

The spelling of 164109324 in words is "one hundred sixty-four million, one hundred nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 5557 7383 9844 11114 14766 16671 22228 29532 33342 66684 127811 255622 383433 511244 594599 766866 1189198 1533732 1783797 2378396 3567594 7135188 13675777 27351554 41027331 54703108 82054662 164109324