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2342124 = 2232174389
BaseRepresentation
bin1000111011110011101100
311101222210100
420323303230
51044421444
6122111100
725623231
oct10736354
94358710
102342124
11135a744
1294b490
13640095
1444d788
15313e69
hex23bcec

2342124 has 72 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 709632.

The previous prime is 2342101. The next prime is 2342129. The reversal of 2342124 is 4212432.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2342097 and 2342106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26272 + ... + 26360.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

22342124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2342124 is an abundant number, since it is smaller than the sum of its proper divisors (4144356).

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

2342124 is a wasteful number, since it uses less digits than its factorization.

2342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2342124 is about 1530.3999477261. The cubic root of 2342124 is about 132.8015961244.

Adding to 2342124 its reverse (4212432), we get a palindrome (6554556).

The spelling of 2342124 in words is "two million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 89 102 129 153 172 178 204 258 267 306 356 387 516 534 612 731 774 801 1068 1462 1513 1548 1602 2193 2924 3026 3204 3827 4386 4539 6052 6579 7654 8772 9078 11481 13158 13617 15308 18156 22962 26316 27234 34443 45924 54468 65059 68886 130118 137772 195177 260236 390354 585531 780708 1171062 2342124