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3528630 = 233571867
BaseRepresentation
bin1101011101011110110110
320122021101000
431131132312
51400404010
6203344130
741664360
oct15353666
96567330
103528630
111aa0126
121222046
13967161
1467bd30
1549a7c0
hex35d7b6

3528630 has 64 divisors (see below), whose sum is σ = 10759680. Its totient is φ = 806112.

The previous prime is 3528607. The next prime is 3528631. The reversal of 3528630 is 368253.

3528630 is a `hidden beast` number, since 3 + 5 + 28 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3528594 and 3528603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528631) 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, 957 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (168120).

Almost surely, 23528630 is an apocalyptic number.

3528630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379840).

3528630 is an abundant number, since it is smaller than the sum of its proper divisors (7231050).

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

3528630 is a wasteful number, since it uses less digits than its factorization.

3528630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3528630 is about 1878.4647987120. The cubic root of 3528630 is about 152.2423131842.

The spelling of 3528630 in words is "three million, five hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1867 1890 3734 5601 9335 11202 13069 16803 18670 26138 28005 33606 39207 50409 56010 65345 78414 84015 100818 117621 130690 168030 196035 235242 252045 352863 392070 504090 588105 705726 1176210 1764315 3528630