Search a number
-
+
2274384 = 24372967
BaseRepresentation
bin1000101011010001010000
311021112212110
420223101100
51040240014
6120425320
725221600
oct10532120
94245773
102274384
111313862
12918240
136182b8
14432c00
152edd59
hex22b450

2274384 has 60 divisors (see below), whose sum is σ = 6841824. Its totient is φ = 649152.

The previous prime is 2274367. The next prime is 2274407. The reversal of 2274384 is 4834722.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 221 + 7 + 4 + 311 + 8 + 43 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869 + ... + 2835.

22274384 is an apocalyptic number.

2274384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420912).

2274384 is an abundant number, since it is smaller than the sum of its proper divisors (4567440).

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

2274384 is a wasteful number, since it uses less digits than its factorization.

2274384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 979 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2274384 is about 1508.1060970635. The cubic root of 2274384 is about 131.5087340650.

The spelling of 2274384 in words is "two million, two hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 967 1176 1934 2352 2901 3868 5802 6769 7736 11604 13538 15472 20307 23208 27076 40614 46416 47383 54152 81228 94766 108304 142149 162456 189532 284298 324912 379064 568596 758128 1137192 2274384