Search a number
-
+
3427830 = 232575441
BaseRepresentation
bin1101000100110111110110
320110011002200
431010313312
51334142310
6201245330
741064450
oct15046766
96404080
103427830
111a3141a
121193846
13930303
146532d0
1547a9c0
hex344df6

3427830 has 48 divisors (see below), whose sum is σ = 10187424. Its totient is φ = 783360.

The previous prime is 3427819. The next prime is 3427843. The reversal of 3427830 is 387243.

It is a junction number, because it is equal to n+sod(n) for n = 3427794 and 3427803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091 + ... + 3350.

It is an arithmetic number, because the mean of its divisors is an integer number (212238).

Almost surely, 23427830 is an apocalyptic number.

3427830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3427830 is an abundant number, since it is smaller than the sum of its proper divisors (6759594).

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

3427830 is a wasteful number, since it uses less digits than its factorization.

3427830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3427830 is about 1851.4399801236. The cubic root of 3427830 is about 150.7786180333.

The spelling of 3427830 in words is "three million, four hundred twenty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5441 10882 16323 27205 32646 38087 48969 54410 76174 81615 97938 114261 163230 190435 228522 244845 342783 380870 489690 571305 685566 1142610 1713915 3427830