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4284630 = 233572267
BaseRepresentation
bin10000010110000011010110
322001200102000
4100112003112
52044102010
6231500130
751263430
oct20260326
98050360
104284630
112467119
121527646
13b702ac
147d7650
155997c0
hex4160d6

4284630 has 64 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 978912.

The previous prime is 4284613. The next prime is 4284641. The reversal of 4284630 is 364824.

4284630 is a `hidden beast` number, since 4 + 28 + 4 + 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 = 4284594 and 4284603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 24284630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4284630 is an abundant number, since it is smaller than the sum of its proper divisors (8779050).

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

4284630 is a wasteful number, since it uses less digits than its factorization.

4284630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4284630 is about 2069.9347815813. The cubic root of 4284630 is about 162.4193524868.

The spelling of 4284630 in words is "four million, two hundred eighty-four 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 1890 2267 4534 6801 11335 13602 15869 20403 22670 31738 34005 40806 47607 61209 68010 79345 95214 102015 122418 142821 158690 204030 238035 285642 306045 428463 476070 612090 714105 856926 1428210 2142315 4284630