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18344640 = 263597197
BaseRepresentation
bin100010111111…
…0101011000000
31021112000010010
41011332223000
514144012030
61453104520
7311632626
oct105765300
937460103
1018344640
11a39a666
126188140
133a53b22
142617516
1519256b0
hex117eac0

18344640 has 112 divisors (see below), whose sum is σ = 59143392. Its totient is φ = 4816896.

The previous prime is 18344603. The next prime is 18344659. The reversal of 18344640 is 4644381.

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

It is a junction number, because it is equal to n+sod(n) for n = 18344598 and 18344607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93022 + ... + 93218.

It is an arithmetic number, because the mean of its divisors is an integer number (528066).

Almost surely, 218344640 is an apocalyptic number.

18344640 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 18344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571696).

18344640 is an abundant number, since it is smaller than the sum of its proper divisors (40798752).

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

18344640 is a wasteful number, since it uses less digits than its factorization.

18344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 18344640 is about 4283.0643235889. The cubic root of 18344640 is about 263.7361919353.

The spelling of 18344640 in words is "eighteen million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 197 240 291 320 388 394 480 485 582 591 776 788 960 970 985 1164 1182 1455 1552 1576 1940 1970 2328 2364 2910 2955 3104 3152 3880 3940 4656 4728 5820 5910 6208 6304 7760 7880 9312 9456 11640 11820 12608 15520 15760 18624 18912 19109 23280 23640 31040 31520 37824 38218 46560 47280 57327 63040 76436 93120 94560 95545 114654 152872 189120 191090 229308 286635 305744 382180 458616 573270 611488 764360 917232 1146540 1222976 1528720 1834464 2293080 3057440 3668928 4586160 6114880 9172320 18344640