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3420630 = 234541103
BaseRepresentation
bin1101000011000111010110
320102210020000
431003013112
51333430010
6201152130
741034453
oct15030726
96383200
103420630
111a26a74
12118b646
13929c55
1465082a
154787c0
hex3431d6

3420630 has 80 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 881280.

The previous prime is 3420617. The next prime is 3420631. The reversal of 3420630 is 360243.

3420630 is a `hidden beast` number, since 34 + 2 + 0 + 630 = 666.

3420630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33159 + ... + 33261.

Almost surely, 23420630 is an apocalyptic number.

3420630 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 3420630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

3420630 is an abundant number, since it is smaller than the sum of its proper divisors (6092874).

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

3420630 is a wasteful number, since it uses less digits than its factorization.

3420630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3420630 is about 1849.4945255393. The cubic root of 3420630 is about 150.6729761718.

Adding to 3420630 its reverse (360243), we get a palindrome (3780873).

The spelling of 3420630 in words is "three million, four hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 103 123 135 162 205 206 246 270 309 369 405 410 515 615 618 738 810 927 1030 1107 1230 1545 1845 1854 2214 2781 3090 3321 3690 4223 4635 5535 5562 6642 8343 8446 9270 11070 12669 13905 16605 16686 21115 25338 27810 33210 38007 41715 42230 63345 76014 83430 114021 126690 190035 228042 342063 380070 570105 684126 1140210 1710315 3420630