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2383840 = 25547317
BaseRepresentation
bin1001000101111111100000
311111010000101
421011333200
51102240330
6123032144
726155654
oct11057740
94433011
102383840
111389018
1296b654
13656074
14460a64
153214ca
hex245fe0

2383840 has 48 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 930304.

The previous prime is 2383817. The next prime is 2383841. The reversal of 2383840 is 483832.

2383840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2383799 and 2383808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2383841) 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 7 ways as a sum of consecutive naturals, for example, 7362 + ... + 7678.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

22383840 is an apocalyptic number.

2383840 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 2383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884896).

2383840 is an abundant number, since it is smaller than the sum of its proper divisors (3385952).

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

2383840 is a wasteful number, since it uses less digits than its factorization.

2383840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2383840 is about 1543.9689116041. The cubic root of 2383840 is about 133.5854120111.

It can be divided in two parts, 2383 and 840, that added together give a palindrome (3223).

The spelling of 2383840 in words is "two million, three hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 317 376 470 634 752 940 1268 1504 1585 1880 2536 3170 3760 5072 6340 7520 10144 12680 14899 25360 29798 50720 59596 74495 119192 148990 238384 297980 476768 595960 1191920 2383840