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3338940 = 2235115059
BaseRepresentation
bin1100101111001010111100
320021122011110
430233022330
51323321230
6155322020
740244343
oct14571274
96248143
103338940
111980660
121150310
138cba07
1462cb5a
1545e4b0
hex32f2bc

3338940 has 48 divisors (see below), whose sum is σ = 10200960. Its totient is φ = 809280.

The previous prime is 3338939. The next prime is 3338963. The reversal of 3338940 is 498333.

It is a happy number.

It is a super-2 number, since 2×33389402 = 22297040647200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3338898 and 3338907.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1870 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (212520).

Almost surely, 23338940 is an apocalyptic number.

3338940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3338940 is an abundant number, since it is smaller than the sum of its proper divisors (6862020).

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

3338940 is a wasteful number, since it uses less digits than its factorization.

3338940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3338940 is about 1827.2766621396. The cubic root of 3338940 is about 149.4638637806.

It can be divided in two parts, 3338 and 940, that added together give a triangular number (4278 = T92).

The spelling of 3338940 in words is "three million, three hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5059 10118 15177 20236 25295 30354 50590 55649 60708 75885 101180 111298 151770 166947 222596 278245 303540 333894 556490 667788 834735 1112980 1669470 3338940