Search a number
-
+
3399630 = 2351323379
BaseRepresentation
bin1100111101111111001110
320101201102020
430331333032
51332242010
6200511010
740616313
oct14757716
96351366
103399630
111a12213
12117b466
13920520
14646d0a
15472470
hex33dfce

3399630 has 64 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 798336.

The previous prime is 3399593. The next prime is 3399631. The reversal of 3399630 is 369933.

It is a junction number, because it is equal to n+sod(n) for n = 3399591 and 3399600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399631) 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, 8781 + ... + 9159.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23399630 is an apocalyptic number.

3399630 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 3399630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3399630 is an abundant number, since it is smaller than the sum of its proper divisors (5793330).

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

3399630 is a wasteful number, since it uses less digits than its factorization.

3399630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its (nonzero) digits is 13122, while the sum is 33.

The square root of 3399630 is about 1843.8085583921. The cubic root of 3399630 is about 150.3640048442.

The spelling of 3399630 in words is "three million, three hundred ninety-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 379 390 598 690 758 897 1137 1495 1794 1895 2274 2990 3790 4485 4927 5685 8717 8970 9854 11370 14781 17434 24635 26151 29562 43585 49270 52302 73905 87170 113321 130755 147810 226642 261510 339963 566605 679926 1133210 1699815 3399630