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2426340 = 2235753109
BaseRepresentation
bin1001010000010111100100
311120021022110
421100113210
51110120330
6124001020
726423610
oct11202744
94507273
102426340
111407a44
12990170
1366c507
14472340
1532ddb0
hex2505e4

2426340 has 96 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 539136.

The previous prime is 2426329. The next prime is 2426341. The reversal of 2426340 is 436242.

2426340 = T349 + T350 + ... + T384.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2426341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22206 + ... + 22314.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

22426340 is an apocalyptic number.

2426340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2426340 is the 1272-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2426340 is an abundant number, since it is smaller than the sum of its proper divisors (5557020).

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

2426340 is a wasteful number, since it uses less digits than its factorization.

2426340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2426340 is about 1557.6713388902. The cubic root of 2426340 is about 134.3746107795.

The spelling of 2426340 in words is "two million, four hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 109 140 159 210 212 218 265 318 327 371 420 436 530 545 636 654 742 763 795 1060 1090 1113 1308 1484 1526 1590 1635 1855 2180 2226 2289 3052 3180 3270 3710 3815 4452 4578 5565 5777 6540 7420 7630 9156 11130 11445 11554 15260 17331 22260 22890 23108 28885 34662 40439 45780 57770 69324 80878 86655 115540 121317 161756 173310 202195 242634 346620 404390 485268 606585 808780 1213170 2426340