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2275344 = 243323229
BaseRepresentation
bin1000101011100000010000
311021121012000
420223200100
51040302334
6120434000
725224441
oct10534020
94247160
102275344
111314555
12918900
13618876
144332c8
152ee299
hex22b810

2275344 has 80 divisors (see below), whose sum is σ = 6844800. Its totient is φ = 722304.

The previous prime is 2275333. The next prime is 2275349. The reversal of 2275344 is 4435722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2275349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9822 + ... + 10050.

It is an arithmetic number, because the mean of its divisors is an integer number (85560).

22275344 is an apocalyptic number.

2275344 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 2275344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422400).

2275344 is an abundant number, since it is smaller than the sum of its proper divisors (4569456).

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

2275344 is a wasteful number, since it uses less digits than its factorization.

2275344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 2275344 is about 1508.4243434790. The cubic root of 2275344 is about 131.5272344041.

The spelling of 2275344 in words is "two million, two hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 229 276 368 414 432 458 552 621 687 828 916 1104 1242 1374 1656 1832 2061 2484 2748 3312 3664 4122 4968 5267 5496 6183 8244 9936 10534 10992 12366 15801 16488 21068 24732 31602 32976 42136 47403 49464 63204 84272 94806 98928 126408 142209 189612 252816 284418 379224 568836 758448 1137672 2275344