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2398068 = 2232292297
BaseRepresentation
bin1001001001011101110100
311111211112100
421021131310
51103214233
6123222100
726245311
oct11113564
94454470
102398068
111398782
12977930
1365c69a
14465d08
15325813
hex249774

2398068 has 36 divisors (see below), whose sum is σ = 6273540. Its totient is φ = 771456.

The previous prime is 2398061. The next prime is 2398073. The reversal of 2398068 is 8608932.

2398068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 1205604 = 1092^2 + 1098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2398061) 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 11 ways as a sum of consecutive naturals, for example, 105 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (174265).

22398068 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 2398068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136770).

2398068 is an abundant number, since it is smaller than the sum of its proper divisors (3875472).

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

2398068 is a wasteful number, since it uses less digits than its factorization.

2398068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2398068 is about 1548.5696626242. The cubic root of 2398068 is about 133.8506541369.

The spelling of 2398068 in words is "two million, three hundred ninety-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2297 4594 6891 9188 13782 20673 27564 41346 66613 82692 133226 199839 266452 399678 599517 799356 1199034 2398068