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3685240 = 2351319373
BaseRepresentation
bin1110000011101101111000
320221020012101
432003231320
51420411430
6210553144
743216066
oct16035570
96836171
103685240
112097859
1212987b4
139c0520
146bd036
154cbdca
hex383b78

3685240 has 64 divisors (see below), whose sum is σ = 9424800. Its totient is φ = 1285632.

The previous prime is 3685219. The next prime is 3685247. The reversal of 3685240 is 425863.

It is a d-powerful number, because it can be written as 39 + 68 + 85 + 59 + 25 + 42 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3685199 and 3685208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9694 + ... + 10066.

Almost surely, 23685240 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 3685240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712400).

3685240 is an abundant number, since it is smaller than the sum of its proper divisors (5739560).

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

3685240 is a wasteful number, since it uses less digits than its factorization.

3685240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3685240 is about 1919.6978928988. The cubic root of 3685240 is about 154.4620966008.

The spelling of 3685240 in words is "three million, six hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 373 380 494 520 746 760 988 1235 1492 1865 1976 2470 2984 3730 4849 4940 7087 7460 9698 9880 14174 14920 19396 24245 28348 35435 38792 48490 56696 70870 92131 96980 141740 184262 193960 283480 368524 460655 737048 921310 1842620 3685240