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244136400 = 24352389523
BaseRepresentation
bin11101000110100…
…11100111010000
3122000101102011220
432203103213100
5444444331100
640120405040
76023060634
oct1643234720
9560342156
10244136400
11115899322
1269916780
133b76b811
14245d0dc4
1516676aa0
hexe8d39d0

244136400 has 120 divisors (see below), whose sum is σ = 785559840. Its totient is φ = 64811520.

The previous prime is 244136383. The next prime is 244136401. The reversal of 244136400 is 4631442.

244136400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244136401) 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, 466539 + ... + 467061.

It is an arithmetic number, because the mean of its divisors is an integer number (6546332).

Almost surely, 2244136400 is an apocalyptic number.

244136400 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 244136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392779920).

244136400 is an abundant number, since it is smaller than the sum of its proper divisors (541423440).

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

244136400 is a wasteful number, since it uses less digits than its factorization.

244136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 244136400 is about 15624.8647994151. The cubic root of 244136400 is about 624.9963946459.

Adding to 244136400 its reverse (4631442), we get a palindrome (248767842).

The spelling of 244136400 in words is "two hundred forty-four million, one hundred thirty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 389 400 523 600 778 1046 1167 1200 1556 1569 1945 2092 2334 2615 3112 3138 3890 4184 4668 5230 5835 6224 6276 7780 7845 8368 9336 9725 10460 11670 12552 13075 15560 15690 18672 19450 20920 23340 25104 26150 29175 31120 31380 38900 39225 41840 46680 52300 58350 62760 77800 78450 93360 104600 116700 125520 155600 156900 203447 209200 233400 313800 406894 466800 610341 627600 813788 1017235 1220682 1627576 2034470 2441364 3051705 3255152 4068940 4882728 5086175 6103410 8137880 9765456 10172350 12206820 15258525 16275760 20344700 24413640 30517050 40689400 48827280 61034100 81378800 122068200 244136400