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2269344 = 253711307
BaseRepresentation
bin1000101010000010100000
311021021221210
420222002200
51040104334
6120350120
725201110
oct10520240
94237853
102269344
11130aaa0
12915340
13615c0c
14431040
152ec5e9
hex22a0a0

2269344 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 587520.

The previous prime is 2269343. The next prime is 2269349. The reversal of 2269344 is 4439622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 211 + 219 + 68 + 95 + 35 + 4 + 46 .

It is not an unprimeable number, because it can be changed into a prime (2269343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7239 + ... + 7545.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

22269344 is an apocalyptic number.

2269344 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 2269344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2269344 is an abundant number, since it is smaller than the sum of its proper divisors (5181792).

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

2269344 is a wasteful number, since it uses less digits than its factorization.

2269344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2269344 is about 1506.4342003553. The cubic root of 2269344 is about 131.4115217779.

The spelling of 2269344 in words is "two million, two hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 307 308 336 352 462 528 614 616 672 921 924 1056 1228 1232 1842 1848 2149 2456 2464 3377 3684 3696 4298 4912 6447 6754 7368 7392 8596 9824 10131 12894 13508 14736 17192 20262 23639 25788 27016 29472 34384 40524 47278 51576 54032 68768 70917 81048 94556 103152 108064 141834 162096 189112 206304 283668 324192 378224 567336 756448 1134672 2269344