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2290374 = 2321937181
BaseRepresentation
bin1000101111001011000110
311022100210200
420233023012
51041242444
6121031330
725316322
oct10571306
94270720
102290374
111324879
12925546
13622668
14438982
15303969
hex22f2c6

2290374 has 48 divisors (see below), whose sum is σ = 5394480. Its totient is φ = 699840.

The previous prime is 2290369. The next prime is 2290403. The reversal of 2290374 is 4730922.

2290374 is a `hidden beast` number, since 2 + 290 + 374 = 666.

2290374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12564 + ... + 12744.

It is an arithmetic number, because the mean of its divisors is an integer number (112385).

22290374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697240).

2290374 is an abundant number, since it is smaller than the sum of its proper divisors (3104106).

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

2290374 is a wasteful number, since it uses less digits than its factorization.

2290374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2290374 is about 1513.3981630754. The cubic root of 2290374 is about 131.8162042582.

The spelling of 2290374 in words is "two million, two hundred ninety thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 181 222 333 342 362 543 666 703 1086 1406 1629 2109 3258 3439 4218 6327 6697 6878 10317 12654 13394 20091 20634 30951 40182 60273 61902 120546 127243 254486 381729 763458 1145187 2290374