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3974838 = 2371719293
BaseRepresentation
bin1111001010011010110110
321110221110020
433022122312
52004143323
6221110010
745533310
oct17123266
97427406
103974838
11227539a
1213b8306
13a9229a
147567b0
15537ae3
hex3ca6b6

3974838 has 64 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1009152.

The previous prime is 3974833. The next prime is 3974849. The reversal of 3974838 is 8384793.

3974838 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3974838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13420 + ... + 13712.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 23974838 is an apocalyptic number.

3974838 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3974838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3974838 is an abundant number, since it is smaller than the sum of its proper divisors (6185802).

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

3974838 is a wasteful number, since it uses less digits than its factorization.

3974838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 145152, while the sum is 42.

The square root of 3974838 is about 1993.6995761649. The cubic root of 3974838 is about 158.4065532693.

The spelling of 3974838 in words is "three million, nine hundred seventy-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 293 323 357 399 586 646 714 798 879 969 1758 1938 2051 2261 4102 4522 4981 5567 6153 6783 9962 11134 12306 13566 14943 16701 29886 33402 34867 38969 69734 77938 94639 104601 116907 189278 209202 233814 283917 567834 662473 1324946 1987419 3974838