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3682240 = 26537311
BaseRepresentation
bin1110000010111111000000
320221002002021
432002333000
51420312430
6210531224
743204252
oct16027700
96832067
103682240
112095581
121296b14
139bc053
146bbcd2
154cb07a
hex382fc0

3682240 has 56 divisors (see below), whose sum is σ = 9034272. Its totient is φ = 1428480.

The previous prime is 3682229. The next prime is 3682243. The reversal of 3682240 is 422863.

It is a happy number.

3682240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11685 + ... + 11995.

Almost surely, 23682240 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 3682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517136).

3682240 is an abundant number, since it is smaller than the sum of its proper divisors (5352032).

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

3682240 is a wasteful number, since it uses less digits than its factorization.

3682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3682240 is about 1918.9163608662. The cubic root of 3682240 is about 154.4201715080.

The spelling of 3682240 in words is "three million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 311 320 370 592 622 740 1184 1244 1480 1555 2368 2488 2960 3110 4976 5920 6220 9952 11507 11840 12440 19904 23014 24880 46028 49760 57535 92056 99520 115070 184112 230140 368224 460280 736448 920560 1841120 3682240