Search a number
-
+
18329004 = 2235109173
BaseRepresentation
bin100010111101…
…0110110101100
31021111012200000
41011322312230
514143012004
61452504300
7311536221
oct105726654
937435600
1018329004
11a389941
12617b090
133a49985
142611948
151920c39
hex117adac

18329004 has 72 divisors (see below), whose sum is σ = 48768720. Its totient is φ = 6018624.

The previous prime is 18328997. The next prime is 18329011. The reversal of 18329004 is 40092381.

It is an interprime number because it is at equal distance from previous prime (18328997) and next prime (18329011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105862 + ... + 106034.

Almost surely, 218329004 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 18329004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384360).

18329004 is an abundant number, since it is smaller than the sum of its proper divisors (30439716).

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

18329004 is a wasteful number, since it uses less digits than its factorization.

18329004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18329004 is about 4281.2386058243. The cubic root of 18329004 is about 263.6612390465.

The spelling of 18329004 in words is "eighteen million, three hundred twenty-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 173 218 243 324 327 346 436 486 519 654 692 972 981 1038 1308 1557 1962 2076 2943 3114 3924 4671 5886 6228 8829 9342 11772 14013 17658 18684 18857 26487 28026 35316 37714 42039 52974 56052 56571 75428 84078 105948 113142 168156 169713 226284 339426 509139 678852 1018278 1527417 2036556 3054834 4582251 6109668 9164502 18329004