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244020400 = 245213167281
BaseRepresentation
bin11101000101101…
…11010010110000
3122000011112001121
432202313102300
5444432123100
640114112024
76022065511
oct1642672260
9560145047
10244020400
1111581a158
126987b614
133b72aa90
14245a0a08
151665251a
hexe8b74b0

244020400 has 120 divisors (see below), whose sum is σ = 637396704. Its totient is φ = 89241600.

The previous prime is 244020383. The next prime is 244020419. The reversal of 244020400 is 4020442.

244020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868260 + ... + 868540.

Almost surely, 2244020400 is an apocalyptic number.

244020400 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 244020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318698352).

244020400 is an abundant number, since it is smaller than the sum of its proper divisors (393376304).

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

244020400 is a wasteful number, since it uses less digits than its factorization.

244020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 244020400 is about 15621.1523262530. The cubic root of 244020400 is about 624.8973911552.

Adding to 244020400 its reverse (4020442), we get a palindrome (248040842).

The spelling of 244020400 in words is "two hundred forty-four million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 167 200 208 260 281 325 334 400 520 562 650 668 835 1040 1124 1300 1336 1405 1670 2171 2248 2600 2672 2810 3340 3653 4175 4342 4496 5200 5620 6680 7025 7306 8350 8684 10855 11240 13360 14050 14612 16700 17368 18265 21710 22480 28100 29224 33400 34736 36530 43420 46927 54275 56200 58448 66800 73060 86840 91325 93854 108550 112400 146120 173680 182650 187708 217100 234635 292240 365300 375416 434200 469270 610051 730600 750832 868400 938540 1173175 1220102 1461200 1877080 2346350 2440204 3050255 3754160 4692700 4880408 6100510 9385400 9760816 12201020 15251275 18770800 24402040 30502550 48804080 61005100 122010200 244020400