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3974790 = 235472819
BaseRepresentation
bin1111001010011010000110
321110221101110
433022122012
52004143130
6221105450
745533211
oct17123206
97427343
103974790
112275356
1213b8286
13a92261
14756778
15537ab0
hex3ca686

3974790 has 32 divisors (see below), whose sum is σ = 9745920. Its totient is φ = 1037024.

The previous prime is 3974783. The next prime is 3974797. The reversal of 3974790 is 974793.

3974790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3974790 is a nontrivial binomial coefficient, being equal to C(2820, 2).

It is an interprime number because it is at equal distance from previous prime (3974783) and next prime (3974797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974797) 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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (304560).

Almost surely, 23974790 is an apocalyptic number.

3974790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3974790 is the 2819-th triangular number and also the 1410-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3974790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872960).

3974790 is an abundant number, since it is smaller than the sum of its proper divisors (5771130).

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

3974790 is a wasteful number, since it uses less digits than its factorization.

3974790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876.

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 3974790 is about 1993.6875382065. The cubic root of 3974790 is about 158.4059156295.

The spelling of 3974790 in words is "three million, nine hundred seventy-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2819 5638 8457 14095 16914 28190 42285 84570 132493 264986 397479 662465 794958 1324930 1987395 3974790