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4244320 = 25541647
BaseRepresentation
bin10000001100001101100000
321222122010001
4100030031200
52041304240
6230545344
751035053
oct20141540
97878101
104244320
112439903
121508254
13b57b42
147c6a9a
1558c89a
hex40c360

4244320 has 48 divisors (see below), whose sum is σ = 10287648. Its totient is φ = 1653760.

The previous prime is 4244311. The next prime is 4244329. The reversal of 4244320 is 234424.

It is an interprime number because it is at equal distance from previous prime (4244311) and next prime (4244329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244329) 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 7 ways as a sum of consecutive naturals, for example, 6237 + ... + 6883.

It is an arithmetic number, because the mean of its divisors is an integer number (214326).

Almost surely, 24244320 is an apocalyptic number.

4244320 is a gapful number since it is divisible by the number (40) 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 4244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143824).

4244320 is an abundant number, since it is smaller than the sum of its proper divisors (6043328).

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

4244320 is a wasteful number, since it uses less digits than its factorization.

4244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4244320 is about 2060.1747498695. The cubic root of 4244320 is about 161.9083971282.

Adding to 4244320 its reverse (234424), we get a palindrome (4478744).

The spelling of 4244320 in words is "four million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 647 656 820 1294 1312 1640 2588 3235 3280 5176 6470 6560 10352 12940 20704 25880 26527 51760 53054 103520 106108 132635 212216 265270 424432 530540 848864 1061080 2122160 4244320