Search a number
-
+
2338920 = 233257389
BaseRepresentation
bin1000111011000001101000
311101211101200
420323001220
51044321140
6122044200
725611003
oct10730150
94354350
102338920
1113582a1
12949660
1363b79c
1444c53a
15313030
hex23b068

2338920 has 96 divisors (see below), whose sum is σ = 7792200. Its totient is φ = 608256.

The previous prime is 2338901. The next prime is 2338933. The reversal of 2338920 is 298332.

It can be written as a sum of positive squares in 4 ways, for example, as 1602756 + 736164 = 1266^2 + 858^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26236 + ... + 26324.

22338920 is an apocalyptic number.

2338920 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 2338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896100).

2338920 is an abundant number, since it is smaller than the sum of its proper divisors (5453280).

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

2338920 is a wasteful number, since it uses less digits than its factorization.

2338920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2338920 is about 1529.3528042934. The cubic root of 2338920 is about 132.7410114463.

It can be divided in two parts, 23389 and 20, that added together give a square (23409 = 1532).

The spelling of 2338920 in words is "two million, three hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 89 90 120 146 178 180 219 267 292 356 360 365 438 445 534 584 657 712 730 801 876 890 1068 1095 1314 1335 1460 1602 1752 1780 2136 2190 2628 2670 2920 3204 3285 3560 4005 4380 5256 5340 6408 6497 6570 8010 8760 10680 12994 13140 16020 19491 25988 26280 32040 32485 38982 51976 58473 64970 77964 97455 116946 129940 155928 194910 233892 259880 292365 389820 467784 584730 779640 1169460 2338920