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3427060 = 2257213269
BaseRepresentation
bin1101000100101011110100
320110010001011
431010223310
51334131220
6201242004
741062300
oct15045364
96403034
103427060
111a3088a
121193304
1392cb60
14652d00
1547a65a
hex344af4

3427060 has 72 divisors (see below), whose sum is σ = 9049320. Its totient is φ = 1080576.

The previous prime is 3427027. The next prime is 3427063. The reversal of 3427060 is 607243.

3427060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 3363556 = 252^2 + 1834^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427063) 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 23 ways as a sum of consecutive naturals, for example, 12606 + ... + 12874.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 23427060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524660).

3427060 is an abundant number, since it is smaller than the sum of its proper divisors (5622260).

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

3427060 is a wasteful number, since it uses less digits than its factorization.

3427060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3427060 is about 1851.2320221949. The cubic root of 3427060 is about 150.7673272915.

The spelling of 3427060 in words is "three million, four hundred twenty-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 269 364 455 490 538 637 910 980 1076 1274 1345 1820 1883 2548 2690 3185 3497 3766 5380 6370 6994 7532 9415 12740 13181 13988 17485 18830 24479 26362 34970 37660 48958 52724 65905 69940 97916 122395 131810 171353 244790 263620 342706 489580 685412 856765 1713530 3427060