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2940048 = 2432171201
BaseRepresentation
bin1011001101110010010000
312112100222200
423031302100
51223040143
6143003200
733663366
oct13156220
95470880
102940048
1117289a1
12b99500
137bc297
14567636
153d11d3
hex2cdc90

2940048 has 60 divisors (see below), whose sum is σ = 8719308. Its totient is φ = 921600.

The previous prime is 2940043. The next prime is 2940053. The reversal of 2940048 is 8400492.

2940048 is nontrivially palindromic in base 15.

2940048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2940043) and next prime (2940053).

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 2108304 = 912^2 + 1452^2 .

It is a nialpdrome in base 12.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2940043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1848 + ... + 3048.

22940048 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 2940048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359654).

2940048 is an abundant number, since it is smaller than the sum of its proper divisors (5779260).

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

2940048 is a wasteful number, since it uses less digits than its factorization.

2940048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2940048 is about 1714.6568169753. The cubic root of 2940048 is about 143.2577547587.

The spelling of 2940048 in words is "two million, nine hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1201 1224 2402 2448 3603 4804 7206 9608 10809 14412 19216 20417 21618 28824 40834 43236 57648 61251 81668 86472 122502 163336 172944 183753 245004 326672 367506 490008 735012 980016 1470024 2940048