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2248344 = 233371487
BaseRepresentation
bin1000100100111010011000
311020020011000
420210322120
51033421334
6120105000
725052640
oct10447230
94206130
102248344
1112a623a
12905160
136094a7
14427520
152e6299
hex224e98

2248344 has 64 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 641952.

The previous prime is 2248333. The next prime is 2248349. The reversal of 2248344 is 4438422.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248349) 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, 769 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

22248344 is an apocalyptic number.

2248344 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 2248344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2248344 is an abundant number, since it is smaller than the sum of its proper divisors (4894056).

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

2248344 is a wasteful number, since it uses less digits than its factorization.

2248344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2248344 is about 1499.4478983946. The cubic root of 2248344 is about 131.0049140592.

The spelling of 2248344 in words is "two million, two hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1487 1512 2974 4461 5948 8922 10409 11896 13383 17844 20818 26766 31227 35688 40149 41636 53532 62454 80298 83272 93681 107064 124908 160596 187362 249816 281043 321192 374724 562086 749448 1124172 2248344