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3728934 = 2321137509
BaseRepresentation
bin1110001110011000100110
321000110010200
432032120212
51423311214
6211531330
743460346
oct16163046
97013120
103728934
112117670
1212b9b46
13a07391
146d0d26
154d9d09
hex38e626

3728934 has 48 divisors (see below), whose sum is σ = 9069840. Its totient is φ = 1097280.

The previous prime is 3728911. The next prime is 3728939. The reversal of 3728934 is 4398273.

3728934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 35 + 73 + 221 + 85 + 9 + 313 + 46 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728939) 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, 7072 + ... + 7580.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 23728934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534920).

3728934 is an abundant number, since it is smaller than the sum of its proper divisors (5340906).

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

3728934 is a wasteful number, since it uses less digits than its factorization.

3728934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 562 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3728934 is about 1931.0447949232. The cubic root of 3728934 is about 155.0701590120.

The spelling of 3728934 in words is "three million, seven hundred twenty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 509 666 814 1018 1221 1527 2442 3054 3663 4581 5599 7326 9162 11198 16797 18833 33594 37666 50391 56499 100782 112998 169497 207163 338994 414326 621489 1242978 1864467 3728934