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2933385 = 357213307
BaseRepresentation
bin1011001100001010001001
312112000211220
423030022021
51222332020
6142512253
733635100
oct13141211
95460756
102933385
111723994
12b95689
137b9240
14565037
153ce240
hex2cc289

2933385 has 48 divisors (see below), whose sum is σ = 5898816. Its totient is φ = 1233792.

The previous prime is 2933383. The next prime is 2933393. The reversal of 2933385 is 5833392.

It is not a de Polignac number, because 2933385 - 21 = 2933383 is a prime.

2933385 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2933383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9402 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (122892).

22933385 is an apocalyptic number.

It is an amenable number.

2933385 is an abundant number, since it is smaller than the sum of its proper divisors (2965431).

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

2933385 is a wasteful number, since it uses less digits than its factorization.

2933385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 2933385 is about 1712.7127605060. The cubic root of 2933385 is about 143.1494517189.

The spelling of 2933385 in words is "two million, nine hundred thirty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 307 455 637 735 921 1365 1535 1911 2149 3185 3991 4605 6447 9555 10745 11973 15043 19955 27937 32235 45129 59865 75215 83811 139685 195559 225645 419055 586677 977795 2933385