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2930268 = 2231179281
BaseRepresentation
bin1011001011011001011100
312111212120110
423023121130
51222232033
6142450020
733623025
oct13133134
95455513
102930268
111721610
12b93910
137b79b3
14563c4c
153cd363
hex2cb65c

2930268 has 48 divisors (see below), whose sum is σ = 7580160. Its totient is φ = 873600.

The previous prime is 2930267. The next prime is 2930281. The reversal of 2930268 is 8620392.

It is a d-powerful number, because it can be written as 211 + 96 + 39 + 0 + 221 + 67 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10288 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (157920).

22930268 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 2930268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790080).

2930268 is an abundant number, since it is smaller than the sum of its proper divisors (4649892).

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

2930268 is a wasteful number, since it uses less digits than its factorization.

2930268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2930268 is about 1711.8025587082. The cubic root of 2930268 is about 143.0987304558.

The spelling of 2930268 in words is "two million, nine hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 281 316 474 562 843 869 948 1124 1686 1738 2607 3091 3372 3476 5214 6182 9273 10428 12364 18546 22199 37092 44398 66597 88796 133194 244189 266388 488378 732567 976756 1465134 2930268