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3004938 = 238229
BaseRepresentation
bin1011011101101000001010
312122200000000
423131220022
51232124223
6144223430
734353516
oct13355012
95580000
103004938
111772722
12100ab76
13812991
14583146
153e5543
hex2dda0a

3004938 has 36 divisors (see below), whose sum is σ = 6790290. Its totient is φ = 997272.

The previous prime is 3004919. The next prime is 3004943. The reversal of 3004938 is 8394003.

3004938 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 only one way, i.e., 1896129 + 1108809 = 1377^2 + 1053^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13008 + ... + 13236.

Almost surely, 23004938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395145).

3004938 is an abundant number, since it is smaller than the sum of its proper divisors (3785352).

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

3004938 is an frugal number, since it uses more digits than its factorization.

3004938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3004938 is about 1733.4756992816. The cubic root of 3004938 is about 144.3040450800.

The spelling of 3004938 in words is "three million, four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 243 458 486 687 729 1374 1458 2061 2187 4122 4374 6183 6561 12366 13122 18549 37098 55647 111294 166941 333882 500823 1001646 1502469 3004938