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18334368 = 2532135983
BaseRepresentation
bin100010111110…
…0001010100000
31021111111000200
41011330022200
514143144433
61452545200
7311560653
oct105741240
937444020
1018334368
11a392978
126182200
133a4c250
14261389a
151922613
hex117c2a0

18334368 has 144 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 5478912.

The previous prime is 18334357. The next prime is 18334397. The reversal of 18334368 is 86343381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×183343682 = 672298099918848, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220855 + ... + 220937.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 218334368 is an apocalyptic number.

18334368 is a gapful number since it is divisible by the number (18) 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 18334368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

18334368 is an abundant number, since it is smaller than the sum of its proper divisors (39454272).

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

18334368 is a wasteful number, since it uses less digits than its factorization.

18334368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 18334368 is about 4281.8650142199. The cubic root of 18334368 is about 263.6869567732.

The spelling of 18334368 in words is "eighteen million, three hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 72 78 83 96 104 117 118 144 156 166 177 208 234 236 249 288 312 332 354 416 468 472 498 531 624 664 708 747 767 936 944 996 1062 1079 1248 1328 1416 1494 1534 1872 1888 1992 2124 2158 2301 2656 2832 2988 3068 3237 3744 3984 4248 4316 4602 4897 5664 5976 6136 6474 6903 7968 8496 8632 9204 9711 9794 11952 12272 12948 13806 14691 16992 17264 18408 19422 19588 23904 24544 25896 27612 29382 34528 36816 38844 39176 44073 51792 55224 58764 63661 73632 77688 78352 88146 103584 110448 117528 127322 155376 156704 176292 190983 220896 235056 254644 310752 352584 381966 470112 509288 572949 705168 763932 1018576 1145898 1410336 1527864 2037152 2291796 3055728 4583592 6111456 9167184 18334368