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2524340 = 2257131973
BaseRepresentation
bin1001101000010010110100
311202020202002
421220102310
51121234330
6130034432
730312410
oct11502264
94666662
102524340
111474635
12a18a18
136a4cc0
14499d40
1534ce45
hex2684b4

2524340 has 96 divisors (see below), whose sum is σ = 6961920. Its totient is φ = 746496.

The previous prime is 2524339. The next prime is 2524343. The reversal of 2524340 is 434252.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2524343) 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, 34544 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (72520).

22524340 is an apocalyptic number.

2524340 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 2524340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480960).

2524340 is an abundant number, since it is smaller than the sum of its proper divisors (4437580).

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

2524340 is a wasteful number, since it uses less digits than its factorization.

2524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2524340 is about 1588.8171700986. The cubic root of 2524340 is about 136.1599185723.

Adding to 2524340 its reverse (434252), we get a palindrome (2958592).

The spelling of 2524340 in words is "two million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 73 76 91 95 130 133 140 146 182 190 247 260 266 292 364 365 380 455 494 511 532 665 730 910 949 988 1022 1235 1330 1387 1460 1729 1820 1898 2044 2470 2555 2660 2774 3458 3796 4745 4940 5110 5548 6643 6916 6935 8645 9490 9709 10220 13286 13870 17290 18031 18980 19418 26572 27740 33215 34580 36062 38836 48545 66430 72124 90155 97090 126217 132860 180310 194180 252434 360620 504868 631085 1262170 2524340