Search a number
-
+
2940688 = 242361131
BaseRepresentation
bin1011001101111100010000
312112101212101
423031330100
51223100223
6143010144
733665302
oct13157420
95471771
102940688
111729423
12b99954
137bc66a
14567972
153d14ad
hex2cdf10

2940688 has 40 divisors (see below), whose sum is σ = 6088896. Its totient is φ = 1372800.

The previous prime is 2940673. The next prime is 2940689. The reversal of 2940688 is 8860492.

2940688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2940689) 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 7 ways as a sum of consecutive naturals, for example, 22383 + ... + 22513.

22940688 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 2940688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044448).

2940688 is an abundant number, since it is smaller than the sum of its proper divisors (3148208).

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

2940688 is a wasteful number, since it uses less digits than its factorization.

2940688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2940688 is about 1714.8434330865. The cubic root of 2940688 is about 143.2681489553.

The spelling of 2940688 in words is "two million, nine hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 46 61 92 122 131 184 244 262 368 488 524 976 1048 1403 2096 2806 3013 5612 6026 7991 11224 12052 15982 22448 24104 31964 48208 63928 127856 183793 367586 735172 1470344 2940688