Search a number
-
+
2343420 = 2232547277
BaseRepresentation
bin1000111100000111111100
311102001120100
420330013330
51044442140
6122121100
725630062
oct10740774
94361510
102343420
111360712
12950190
13640851
14450032
15314530
hex23c1fc

2343420 has 72 divisors (see below), whose sum is σ = 7285824. Its totient is φ = 609408.

The previous prime is 2343413. The next prime is 2343449. The reversal of 2343420 is 243432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2343393 and 2343402.

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, 8322 + ... + 8598.

It is an arithmetic number, because the mean of its divisors is an integer number (101192).

22343420 is an apocalyptic number.

2343420 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 2343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642912).

2343420 is an abundant number, since it is smaller than the sum of its proper divisors (4942404).

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

2343420 is a wasteful number, since it uses less digits than its factorization.

2343420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2343420 is about 1530.8233078968. The cubic root of 2343420 is about 132.8260865916.

Adding to 2343420 its reverse (243432), we get a palindrome (2586852).

The spelling of 2343420 in words is "two million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 277 282 423 470 554 564 705 831 846 940 1108 1385 1410 1662 1692 2115 2493 2770 2820 3324 4155 4230 4986 5540 8310 8460 9972 12465 13019 16620 24930 26038 39057 49860 52076 65095 78114 117171 130190 156228 195285 234342 260380 390570 468684 585855 781140 1171710 2343420