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2438240 = 25572311
BaseRepresentation
bin1001010011010001100000
311120212122012
421103101200
51111010430
6124132052
726503400
oct11232140
94525565
102438240
111415982
12997028
13674a5c
14476800
15332695
hex253460

2438240 has 72 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 833280.

The previous prime is 2438239. The next prime is 2438281. The reversal of 2438240 is 428342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7685 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

22438240 is an apocalyptic number.

2438240 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 2438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2438240 is an abundant number, since it is smaller than the sum of its proper divisors (4284112).

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

2438240 is a wasteful number, since it uses less digits than its factorization.

2438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2438240 is about 1561.4864712831. The cubic root of 2438240 is about 134.5939329920.

The spelling of 2438240 in words is "two million, four hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 311 392 490 560 622 784 980 1120 1244 1555 1568 1960 2177 2488 3110 3920 4354 4976 6220 7840 8708 9952 10885 12440 15239 17416 21770 24880 30478 34832 43540 49760 60956 69664 76195 87080 121912 152390 174160 243824 304780 348320 487648 609560 1219120 2438240