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2388320 = 255112359
BaseRepresentation
bin1001000111000101100000
311111100011022
421013011200
51102411240
6123105012
726205014
oct11070540
94440138
102388320
111391420
12972168
1365810c
14462544
153229b5
hex247160

2388320 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 816640.

The previous prime is 2388317. The next prime is 2388329. The reversal of 2388320 is 238832.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2388320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2388329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40451 + ... + 40509.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22388320 is an apocalyptic number.

2388320 is a gapful number since it is divisible by the number (20) 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 2388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2388320 is an abundant number, since it is smaller than the sum of its proper divisors (4143520).

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

2388320 is a wasteful number, since it uses less digits than its factorization.

2388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2388320 is about 1545.4190370252. The cubic root of 2388320 is about 133.6690429225.

It can be divided in two parts, 238 and 8320, that added together give a palindrome (8558).

The spelling of 2388320 in words is "two million, three hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 59 80 88 92 110 115 118 160 176 184 220 230 236 253 295 352 368 440 460 472 506 590 649 736 880 920 944 1012 1180 1265 1298 1357 1760 1840 1888 2024 2360 2530 2596 2714 3245 3680 4048 4720 5060 5192 5428 6490 6785 8096 9440 10120 10384 10856 12980 13570 14927 20240 20768 21712 25960 27140 29854 40480 43424 51920 54280 59708 74635 103840 108560 119416 149270 217120 238832 298540 477664 597080 1194160 2388320