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18343920 = 2435761179
BaseRepresentation
bin100010111111…
…0011111110000
31021111222010110
41011332133300
514144001140
61453101320
7311630550
oct105763760
937458113
1018343920
11a39a071
126187840
133a536ba
142617160
151925380
hex117e7f0

18343920 has 160 divisors (see below), whose sum is σ = 66424320. Its totient is φ = 4101120.

The previous prime is 18343891. The next prime is 18343931. The reversal of 18343920 is 2934381.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102391 + ... + 102569.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 218343920 is an apocalyptic number.

18343920 is a gapful number since it is divisible by the number (10) 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 18343920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212160).

18343920 is an abundant number, since it is smaller than the sum of its proper divisors (48080400).

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

18343920 is a wasteful number, since it uses less digits than its factorization.

18343920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 18343920 is about 4282.9802707928. The cubic root of 18343920 is about 263.7327414716.

The spelling of 18343920 in words is "eighteen million, three hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 179 183 210 240 244 280 305 336 358 366 420 427 488 537 560 610 716 732 840 854 895 915 976 1074 1220 1253 1281 1432 1464 1680 1708 1790 1830 2135 2148 2440 2506 2562 2685 2864 2928 3416 3580 3660 3759 4270 4296 4880 5012 5124 5370 6265 6405 6832 7160 7320 7518 8540 8592 10024 10248 10740 10919 12530 12810 14320 14640 15036 17080 18795 20048 20496 21480 21838 25060 25620 30072 32757 34160 37590 42960 43676 50120 51240 54595 60144 65514 75180 76433 87352 100240 102480 109190 131028 150360 152866 163785 174704 218380 229299 262056 300720 305732 327570 382165 436760 458598 524112 611464 655140 764330 873520 917196 1146495 1222928 1310280 1528660 1834392 2292990 2620560 3057320 3668784 4585980 6114640 9171960 18343920