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244537344 = 2113213267
BaseRepresentation
bin11101001001101…
…01100000000000
3122001010210011200
432210311200000
51000100143334
640133141200
76026350602
oct1644654000
9561123150
10244537344
11116042587
1269a8a800
133b87c16c
1424697172
1516705799
hexe935800

244537344 has 72 divisors (see below), whose sum is σ = 706321980. Its totient is φ = 81506304.

The previous prime is 244537303. The next prime is 244537351. The reversal of 244537344 is 443735442.

244537344 is a `hidden beast` number, since 244 + 5 + 373 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2445373442 = 119597025221148672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244537299 and 244537308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11799 + ... + 25065.

Almost surely, 2244537344 is an apocalyptic number.

244537344 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 244537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353160990).

244537344 is an abundant number, since it is smaller than the sum of its proper divisors (461784636).

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

244537344 is a wasteful number, since it uses less digits than its factorization.

244537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13295 (or 13272 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 244537344 is about 15637.6898549626. The cubic root of 244537344 is about 625.3383503441.

The spelling of 244537344 in words is "two hundred forty-four million, five hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 13267 18432 26534 39801 53068 79602 106136 119403 159204 212272 238806 318408 424544 477612 636816 849088 955224 1273632 1698176 1910448 2547264 3396352 3820896 5094528 6792704 7641792 10189056 13585408 15283584 20378112 27170816 30567168 40756224 61134336 81512448 122268672 244537344