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3814290 = 234517277
BaseRepresentation
bin1110100011001110010010
321011210020000
432203032102
51434024130
6213430430
744264244
oct16431622
97153200
103814290
112175807
12133b416
13a3719c
14714094
15505260
hex3a3392

3814290 has 80 divisors (see below), whose sum is σ = 10898712. Its totient is φ = 953856.

The previous prime is 3814267. The next prime is 3814301. The reversal of 3814290 is 924183.

3814290 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 2954961 + 859329 = 1719^2 + 927^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 13632 + ... + 13908.

Almost surely, 23814290 is an apocalyptic number.

3814290 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 3814290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449356).

3814290 is an abundant number, since it is smaller than the sum of its proper divisors (7084422).

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

3814290 is a wasteful number, since it uses less digits than its factorization.

3814290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3814290 is about 1953.0207372171. The cubic root of 3814290 is about 156.2444392688.

The spelling of 3814290 in words is "three million, eight hundred fourteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 277 306 405 459 510 554 765 810 831 918 1377 1385 1530 1662 2295 2493 2754 2770 4155 4590 4709 4986 6885 7479 8310 9418 12465 13770 14127 14958 22437 23545 24930 28254 37395 42381 44874 47090 70635 74790 84762 112185 127143 141270 211905 224370 254286 381429 423810 635715 762858 1271430 1907145 3814290