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3285940 = 22573479
BaseRepresentation
bin1100100010001110110100
320011221110111
430202032310
51320122230
6154232404
736634000
oct14421664
96157414
103285940
111944859
121125704
138b0858
14617700
1544d92a
hex3223b4

3285940 has 48 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 1124256.

The previous prime is 3285929. The next prime is 3285943. The reversal of 3285940 is 495823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285943) 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, 6621 + ... + 7099.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

Almost surely, 23285940 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 3285940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

3285940 is an abundant number, since it is smaller than the sum of its proper divisors (4778060).

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

3285940 is a wasteful number, since it uses less digits than its factorization.

3285940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3285940 is about 1812.7161940028. The cubic root of 3285940 is about 148.6688138290.

It can be divided in two parts, 3285 and 940, that added together give a square (4225 = 652).

The spelling of 3285940 in words is "three million, two hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 479 490 686 958 980 1372 1715 1916 2395 3353 3430 4790 6706 6860 9580 13412 16765 23471 33530 46942 67060 93884 117355 164297 234710 328594 469420 657188 821485 1642970 3285940