Search a number
-
+
244123400 = 235217193779
BaseRepresentation
bin11101000110100…
…00011100001000
3122000100202100102
432203100130020
5444443422100
640120224532
76023005013
oct1643203410
9560322312
10244123400
1111588a584
126990b148
133b765921
14245ca37a
1516672cd5
hexe8d0708

244123400 has 96 divisors (see below), whose sum is σ = 632772000. Its totient is φ = 87045120.

The previous prime is 244123393. The next prime is 244123409. The reversal of 244123400 is 4321442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (244123409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62711 + ... + 66489.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2244123400 is an apocalyptic number.

244123400 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 244123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316386000).

244123400 is an abundant number, since it is smaller than the sum of its proper divisors (388648600).

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

244123400 is a wasteful number, since it uses less digits than its factorization.

244123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 244123400 is about 15624.4487902774. The cubic root of 244123400 is about 624.9853009876.

Adding to 244123400 its reverse (4321442), we get a palindrome (248444842).

The spelling of 244123400 in words is "two hundred forty-four million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 323 340 380 425 475 646 680 760 850 950 1292 1615 1700 1900 2584 3230 3400 3779 3800 6460 7558 8075 12920 15116 16150 18895 30232 32300 37790 64243 64600 71801 75580 94475 128486 143602 151160 188950 256972 287204 321215 359005 377900 513944 574408 642430 718010 755800 1220617 1284860 1436020 1606075 1795025 2441234 2569720 2872040 3212150 3590050 4882468 6103085 6424300 7180100 9764936 12206170 12848600 14360200 24412340 30515425 48824680 61030850 122061700 244123400