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3682434 = 237432039
BaseRepresentation
bin1110000011000010000010
320221002100110
432003002002
51420314214
6210532150
743204650
oct16030202
96832313
103682434
112095738
121297056
139bc172
146bbdd0
154cb159
hex383082

3682434 has 32 divisors (see below), whose sum is σ = 8616960. Its totient is φ = 1027152.

The previous prime is 3682429. The next prime is 3682439. The reversal of 3682434 is 4342863.

It is an interprime number because it is at equal distance from previous prime (3682429) and next prime (3682439).

It is a d-powerful number, because it can be written as 37 + 6 + 87 + 211 + 45 + 312 + 410 .

It is not an unprimeable number, because it can be changed into a prime (3682439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (269280).

Almost surely, 23682434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308480).

3682434 is an abundant number, since it is smaller than the sum of its proper divisors (4934526).

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

3682434 is a wasteful number, since it uses less digits than its factorization.

3682434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094.

The product of its digits is 13824, while the sum is 30.

The square root of 3682434 is about 1918.9669095636. The cubic root of 3682434 is about 154.4228833525.

The spelling of 3682434 in words is "three million, six hundred eighty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 2039 4078 6117 12234 14273 28546 42819 85638 87677 175354 263031 526062 613739 1227478 1841217 3682434