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20245344 = 253747641
BaseRepresentation
bin100110100111…
…0101101100000
31102002120101120
41031032231200
520140322334
62001532240
7334040220
oct115165540
942076346
1020245344
1110478699
126944080
13426acc2
142990080
151b9d949
hex134eb60

20245344 has 96 divisors (see below), whose sum is σ = 62125056. Its totient is φ = 5652480.

The previous prime is 20245343. The next prime is 20245369. The reversal of 20245344 is 44354202.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20245343) 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, 31264 + ... + 31904.

It is an arithmetic number, because the mean of its divisors is an integer number (647136).

Almost surely, 220245344 is an apocalyptic number.

20245344 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 20245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31062528).

20245344 is an abundant number, since it is smaller than the sum of its proper divisors (41879712).

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

20245344 is a wasteful number, since it uses less digits than its factorization.

20245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 20245344 is about 4499.4826369262. The cubic root of 20245344 is about 272.5471971668.

Adding to 20245344 its reverse (44354202), we get a palindrome (64599546).

The spelling of 20245344 in words is "twenty million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 641 658 672 752 987 1128 1282 1316 1504 1923 1974 2256 2564 2632 3846 3948 4487 4512 5128 5264 7692 7896 8974 10256 10528 13461 15384 15792 17948 20512 26922 30127 30768 31584 35896 53844 60254 61536 71792 90381 107688 120508 143584 180762 210889 215376 241016 361524 421778 430752 482032 632667 723048 843556 964064 1265334 1446096 1687112 2530668 2892192 3374224 5061336 6748448 10122672 20245344