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3420060 = 2235717479
BaseRepresentation
bin1101000010111110011100
320102202102220
431002332130
51333420220
6201145340
741033010
oct15027634
96382386
103420060
111a265a6
12118b250
13929907
14650540
15478540
hex342f9c

3420060 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 734208.

The previous prime is 3420059. The next prime is 3420061. The reversal of 3420060 is 600243.

3420060 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3420059) and next prime (3420061).

It is a Harshad number since it is a multiple of its sum of digits (15).

3420060 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420061) 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, 6901 + ... + 7379.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 23420060 is an apocalyptic number.

3420060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3420060 is an abundant number, since it is smaller than the sum of its proper divisors (8192100).

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

3420060 is a wasteful number, since it uses less digits than its factorization.

3420060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3420060 is about 1849.3404229617. The cubic root of 3420060 is about 150.6646065276.

The spelling of 3420060 in words is "three million, four hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 479 510 595 714 958 1020 1190 1428 1437 1785 1916 2380 2395 2874 3353 3570 4790 5748 6706 7140 7185 8143 9580 10059 13412 14370 16286 16765 20118 24429 28740 32572 33530 40236 40715 48858 50295 57001 67060 81430 97716 100590 114002 122145 162860 171003 201180 228004 244290 285005 342006 488580 570010 684012 855015 1140020 1710030 3420060