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244314100 = 225231531487
BaseRepresentation
bin11101000111111…
…10111111110100
3122000201102221101
432203332333310
51000021022400
640124255444
76024431002
oct1643767764
9560642841
10244314100
111159aa888
12699a1584
133b801674
1424639a72
15166ae56a
hexe8feff4

244314100 has 72 divisors (see below), whose sum is σ = 557964288. Its totient is φ = 92726400.

The previous prime is 244314097. The next prime is 244314101. The reversal of 244314100 is 1413442.

244314100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244314101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163557 + ... + 165043.

It is an arithmetic number, because the mean of its divisors is an integer number (7749504).

Almost surely, 2244314100 is an apocalyptic number.

244314100 is a gapful number since it is divisible by the number (20) 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 244314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278982144).

244314100 is an abundant number, since it is smaller than the sum of its proper divisors (313650188).

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

244314100 is a wasteful number, since it uses less digits than its factorization.

244314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 244314100 is about 15630.5502142439. The cubic root of 244314100 is about 625.1479969523.

Adding to 244314100 its reverse (1413442), we get a palindrome (245727542).

The spelling of 244314100 in words is "two hundred forty-four million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1487 1550 1643 2650 2974 3100 3286 5300 5948 6572 7435 8215 14870 16430 29740 32860 37175 41075 46097 74350 78811 82150 92194 148700 157622 164300 184388 230485 315244 394055 460970 788110 921940 1152425 1576220 1970275 2304850 2443141 3940550 4609700 4886282 7881100 9772564 12215705 24431410 48862820 61078525 122157050 244314100