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244523104 = 25717157409
BaseRepresentation
bin11101001001100…
…10000001100000
3122001010001122021
432210302001200
51000044214404
640132551224
76026261230
oct1644620140
9561101567
10244523104
11116032911
1269a82514
133b875837
1424691cc0
1516701454
hexe932060

244523104 has 96 divisors (see below), whose sum is σ = 587684160. Its totient is φ = 97763328.

The previous prime is 244523089. The next prime is 244523107. The reversal of 244523104 is 401325442.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244523107) 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, 597652 + ... + 598060.

It is an arithmetic number, because the mean of its divisors is an integer number (6121710).

Almost surely, 2244523104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293842080).

244523104 is an abundant number, since it is smaller than the sum of its proper divisors (343161056).

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

244523104 is a wasteful number, since it uses less digits than its factorization.

244523104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 244523104 is about 15637.2345381145. The cubic root of 244523104 is about 625.3262117878.

Adding to 244523104 its reverse (401325442), we get a palindrome (645848546).

It can be divided in two parts, 24452 and 3104, that added together give a square (27556 = 1662).

The spelling of 244523104 in words is "two hundred forty-four million, five hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 157 224 238 272 314 409 476 544 628 818 952 1099 1256 1636 1904 2198 2512 2669 2863 3272 3808 4396 5024 5338 5726 6544 6953 8792 10676 11452 13088 13906 17584 18683 21352 22904 27812 35168 37366 42704 45808 48671 55624 64213 74732 85408 91616 97342 111248 128426 149464 194684 222496 256852 298928 389368 449491 513704 597856 778736 898982 1027408 1091621 1557472 1797964 2054816 2183242 3595928 4366484 7191856 7641347 8732968 14383712 15282694 17465936 30565388 34931872 61130776 122261552 244523104