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2293794 = 232192353
BaseRepresentation
bin1000110000000000100010
311022112111100
420300000202
51041400134
6121055230
725332306
oct10600042
94275440
102293794
1113273a8
12927516
13624099
14439d06
15304999
hex230022

2293794 has 36 divisors (see below), whose sum is σ = 5260086. Its totient is φ = 722304.

The previous prime is 2293789. The next prime is 2293799. The reversal of 2293794 is 4973922.

It is an interprime number because it is at equal distance from previous prime (2293789) and next prime (2293799).

It can be written as a sum of positive squares in only one way, i.e., 2030625 + 263169 = 1425^2 + 513^2 .

It is a super-2 number, since 2×22937942 = 10522981828872, which contains 22 as substring.

It is a d-powerful number, because it can be written as 217 + 221 + 9 + 32 + 7 + 9 + 48 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2293799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6322 + ... + 6674.

22293794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630043).

2293794 is an abundant number, since it is smaller than the sum of its proper divisors (2966292).

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

2293794 is a wasteful number, since it uses less digits than its factorization.

2293794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2293794 is about 1514.5276491369. The cubic root of 2293794 is about 131.8817812076.

The spelling of 2293794 in words is "two million, two hundred ninety-three thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 353 361 706 722 1059 1083 2118 2166 3177 3249 6354 6498 6707 13414 20121 40242 60363 120726 127433 254866 382299 764598 1146897 2293794