Search a number
-
+
14398384 = 24711132931
BaseRepresentation
bin110110111011…
…001110110000
31000002111212111
4312323032300
512141222014
61232335104
7233245540
oct66731660
930074774
1014398384
1181447a0
1249a4494
132ca1870
141cab320
1513e62c4
hexdbb3b0

14398384 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 4838400.

The previous prime is 14398381. The next prime is 14398387. The reversal of 14398384 is 48389341.

It is an interprime number because it is at equal distance from previous prime (14398381) and next prime (14398387).

It is a super-2 number, since 2×143983842 = 414626923622912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14398381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464449 + ... + 464479.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 214398384 is an apocalyptic number.

14398384 is a gapful number since it is divisible by the number (14) 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 14398384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

14398384 is an abundant number, since it is smaller than the sum of its proper divisors (25599056).

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

14398384 is a wasteful number, since it uses less digits than its factorization.

14398384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 14398384 is about 3794.5202595322. The cubic root of 14398384 is about 243.2789787062.

The spelling of 14398384 in words is "fourteen million, three hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 29 31 44 52 56 58 62 77 88 91 104 112 116 124 143 154 176 182 203 208 217 232 248 286 308 319 341 364 377 403 406 434 464 496 572 616 638 682 728 754 806 812 868 899 1001 1144 1232 1276 1364 1456 1508 1612 1624 1736 1798 2002 2233 2288 2387 2552 2639 2728 2821 3016 3224 3248 3472 3596 4004 4147 4433 4466 4774 5104 5278 5456 5642 6032 6293 6448 7192 8008 8294 8866 8932 9548 9889 10556 11284 11687 12586 14384 16016 16588 17732 17864 19096 19778 21112 22568 23374 25172 29029 31031 33176 35464 35728 38192 39556 42224 45136 46748 50344 58058 62062 66352 69223 70928 79112 81809 93496 100688 116116 124124 128557 138446 158224 163618 186992 232232 248248 257114 276892 327236 464464 496496 514228 553784 654472 899899 1028456 1107568 1308944 1799798 2056912 3599596 7199192 14398384