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3384990 = 23557199
BaseRepresentation
bin1100111010011010011110
320100222100000
430322122132
51331304430
6200315130
740525530
oct14723236
96328300
103384990
111a02214
121172aa6
1391696b
14641850
1546ce60
hex33a69e

3384990 has 96 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 769824.

The previous prime is 3384977. The next prime is 3384991. The reversal of 3384990 is 994833.

It is a super-2 number, since 2×33849902 = 22916314600200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16911 + ... + 17109.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

Almost surely, 23384990 is an apocalyptic number.

3384990 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 3384990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3384990 is an abundant number, since it is smaller than the sum of its proper divisors (7098210).

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

3384990 is a wasteful number, since it uses less digits than its factorization.

3384990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3384990 is about 1839.8342316633. The cubic root of 3384990 is about 150.1478542130.

The spelling of 3384990 in words is "three million, three hundred eighty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 199 210 243 270 315 378 398 405 486 567 597 630 810 945 995 1134 1194 1215 1393 1701 1791 1890 1990 2430 2786 2835 2985 3402 3582 4179 5373 5670 5970 6965 8358 8505 8955 10746 12537 13930 16119 17010 17910 20895 25074 26865 32238 37611 41790 48357 53730 62685 75222 80595 96714 112833 125370 161190 188055 225666 241785 338499 376110 483570 564165 676998 1128330 1692495 3384990