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2938068 = 2232789131
BaseRepresentation
bin1011001101010011010100
312112021021100
423031103110
51223004233
6142550100
733654540
oct13152324
95467240
102938068
111727461
12b98330
137bb403
14566a20
153d0813
hex2cd4d4

2938068 has 72 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 823680.

The previous prime is 2938057. The next prime is 2938069. The reversal of 2938068 is 8608392.

2938068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938069) 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, 22363 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

22938068 is an apocalyptic number.

2938068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2938068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2938068 is an abundant number, since it is smaller than the sum of its proper divisors (5710572).

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

2938068 is a wasteful number, since it uses less digits than its factorization.

2938068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

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

The square root of 2938068 is about 1714.0793447212. The cubic root of 2938068 is about 143.2255881576.

The spelling of 2938068 in words is "two million, nine hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 131 178 252 262 267 356 393 524 534 623 786 801 917 1068 1179 1246 1572 1602 1834 1869 2358 2492 2751 3204 3668 3738 4716 5502 5607 7476 8253 11004 11214 11659 16506 22428 23318 33012 34977 46636 69954 81613 104931 139908 163226 209862 244839 326452 419724 489678 734517 979356 1469034 2938068