Search a number
-
+
18397368 = 2334112989
BaseRepresentation
bin100011000101…
…1100010111000
31021121200110000
41012023202320
514202203433
61454153000
7312242433
oct106134270
937550400
1018397368
11a426240
1261b2760
133a71b22
14262c81a
151936113
hex118b8b8

18397368 has 160 divisors (see below), whose sum is σ = 58806000. Its totient is φ = 5322240.

The previous prime is 18397367. The next prime is 18397373. The reversal of 18397368 is 86379381.

It is a happy number.

It is a super-3 number, since 3×183973683 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18397361) 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 39 ways as a sum of consecutive naturals, for example, 206668 + ... + 206756.

Almost surely, 218397368 is an apocalyptic number.

18397368 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 18397368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29403000).

18397368 is an abundant number, since it is smaller than the sum of its proper divisors (40408632).

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

18397368 is a wasteful number, since it uses less digits than its factorization.

18397368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 18397368 is about 4289.2153128515. The cubic root of 18397368 is about 263.9886358745.

It can be divided in two parts, 183973 and 68, that added together give a square (184041 = 4292).

The spelling of 18397368 in words is "eighteen million, three hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 81 87 88 89 99 108 116 132 162 174 178 198 216 232 261 264 267 297 319 324 348 356 396 522 534 594 638 648 696 712 783 792 801 891 957 979 1044 1068 1188 1276 1566 1602 1782 1914 1958 2088 2136 2349 2376 2403 2552 2581 2871 2937 3132 3204 3564 3828 3916 4698 4806 5162 5742 5874 6264 6408 7128 7209 7656 7743 7832 8613 8811 9396 9612 10324 11484 11748 14418 15486 17226 17622 18792 19224 20648 22968 23229 23496 25839 26433 28391 28836 30972 34452 35244 46458 51678 52866 56782 57672 61944 68904 69687 70488 79299 85173 92916 103356 105732 113564 139374 158598 170346 185832 206712 209061 211464 227128 255519 278748 317196 340692 418122 511038 557496 634392 681384 766557 836244 1022076 1533114 1672488 2044152 2299671 3066228 4599342 6132456 9198684 18397368