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2324340 = 2232537349
BaseRepresentation
bin1000110111011101110100
311101002101200
420313131310
51043334330
6121452500
725520334
oct10673564
94332350
102324340
111348347
12941130
13634c65
144470c4
1530da60
hex237774

2324340 has 72 divisors (see below), whose sum is σ = 7261800. Its totient is φ = 601344.

The previous prime is 2324317. The next prime is 2324351. The reversal of 2324340 is 434232.

2324340 is a `hidden beast` number, since 2 + 324 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 1425636 = 948^2 + 1194^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 6486 + ... + 6834.

22324340 is an apocalyptic number.

2324340 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 2324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630900).

2324340 is an abundant number, since it is smaller than the sum of its proper divisors (4937460).

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

2324340 is a wasteful number, since it uses less digits than its factorization.

2324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

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

The square root of 2324340 is about 1524.5786303107. The cubic root of 2324340 is about 132.4646161598.

Adding to 2324340 its reverse (434232), we get a palindrome (2758572).

The spelling of 2324340 in words is "two million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 349 370 444 555 666 698 740 1047 1110 1332 1396 1665 1745 2094 2220 3141 3330 3490 4188 5235 6282 6660 6980 10470 12564 12913 15705 20940 25826 31410 38739 51652 62820 64565 77478 116217 129130 154956 193695 232434 258260 387390 464868 581085 774780 1162170 2324340