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3334940 = 225724183
BaseRepresentation
bin1100101110001100011100
320021102200022
430232030130
51323204230
6155251312
740226600
oct14561434
96242608
103334940
111978654
121149b38
138c9c4b
1462b500
1545d1e5
hex32e31c

3334940 has 72 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 1102080.

The previous prime is 3334939. The next prime is 3334943. The reversal of 3334940 is 494333.

3334940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33349402 = 22243649607200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334943) 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, 40139 + ... + 40221.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

Almost surely, 23334940 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 3334940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

3334940 is an abundant number, since it is smaller than the sum of its proper divisors (5111092).

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

3334940 is a wasteful number, since it uses less digits than its factorization.

3334940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 3334940 is about 1826.1818091307. The cubic root of 3334940 is about 149.4041547756.

The spelling of 3334940 in words is "three million, three hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 83 98 140 164 166 196 205 245 287 332 410 415 490 574 581 820 830 980 1148 1162 1435 1660 2009 2324 2870 2905 3403 4018 4067 5740 5810 6806 8036 8134 10045 11620 13612 16268 17015 20090 20335 23821 34030 40180 40670 47642 68060 81340 95284 119105 166747 238210 333494 476420 666988 833735 1667470 3334940