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18342252 = 22321724143
BaseRepresentation
bin100010111111…
…0000101101100
31021111212211200
41011332011230
514143423002
61453045500
7311622645
oct105760554
937455750
1018342252
11a398895
126186890
133a52a06
1426166cc
151924b1c
hex117e16c

18342252 has 108 divisors (see below), whose sum is σ = 51627576. Its totient is φ = 5483520.

The previous prime is 18342251. The next prime is 18342263. The reversal of 18342252 is 25224381.

Its product of digits (3840) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (18342251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 426543 + ... + 426585.

Almost surely, 218342252 is an apocalyptic number.

18342252 is a gapful number since it is divisible by the number (12) 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 18342252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25813788).

18342252 is an abundant number, since it is smaller than the sum of its proper divisors (33285324).

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

18342252 is a wasteful number, since it uses less digits than its factorization.

18342252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 18342252 is about 4282.7855421443. The cubic root of 18342252 is about 263.7247475505.

The spelling of 18342252 in words is "eighteen million, three hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 43 51 68 82 86 102 123 129 153 164 172 204 246 258 289 306 369 387 492 516 578 612 697 731 738 774 867 1156 1394 1462 1476 1548 1734 1763 2091 2193 2601 2788 2924 3468 3526 4182 4386 5202 5289 6273 6579 7052 8364 8772 10404 10578 11849 12427 12546 13158 15867 21156 23698 24854 25092 26316 29971 31734 35547 37281 47396 49708 59942 63468 71094 74562 89913 106641 111843 119884 142188 149124 179826 213282 223686 269739 359652 426564 447372 509507 539478 1019014 1078956 1528521 2038028 3057042 4585563 6114084 9171126 18342252