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2338380 = 22325111181
BaseRepresentation
bin1000111010111001001100
311101210122200
420322321030
51044312010
6122041500
725606302
oct10727114
94353580
102338380
111357950
12949290
1363b475
1444c272
15312cc0
hex23ae4c

2338380 has 72 divisors (see below), whose sum is σ = 7744464. Its totient is φ = 566400.

The previous prime is 2338351. The next prime is 2338381. The reversal of 2338380 is 838332.

2338380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2338381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (107562).

22338380 is an apocalyptic number.

2338380 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 2338380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872232).

2338380 is an abundant number, since it is smaller than the sum of its proper divisors (5406084).

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

2338380 is a wasteful number, since it uses less digits than its factorization.

2338380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2338380 is about 1529.1762488346. The cubic root of 2338380 is about 132.7307950981.

The spelling of 2338380 in words is "two million, three hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1181 1980 2362 3543 4724 5905 7086 10629 11810 12991 14172 17715 21258 23620 25982 35430 38973 42516 51964 53145 64955 70860 77946 106290 116919 129910 155892 194865 212580 233838 259820 389730 467676 584595 779460 1169190 2338380