Search a number
-
+
244203328 = 262327213
BaseRepresentation
bin11101000111000…
…11111101000000
3122000111210222201
432203203331000
51000004001303
640122042544
76023460025
oct1643437500
9560453881
10244203328
11115934636
1269949454
133b793115
142460b54c
151668b81d
hexe8e3f40

244203328 has 42 divisors (see below), whose sum is σ = 506646434. Its totient is φ = 116776704.

The previous prime is 244203233. The next prime is 244203329. The reversal of 244203328 is 823302442.

244203328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 233233984 + 10969344 = 15272^2 + 3312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 244203296 and 244203305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244203329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30250 + ... + 37462.

Almost surely, 2244203328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253323217).

244203328 is an abundant number, since it is smaller than the sum of its proper divisors (262443106).

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

244203328 is an equidigital number, since it uses as much as digits as its factorization.

244203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 244203328 is about 15627.0063671837. The cubic root of 244203328 is about 625.0535019799.

The spelling of 244203328 in words is "two hundred forty-four million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 7213 8464 14426 16928 28852 33856 57704 115408 165899 230816 331798 461632 663596 1327192 2654384 3815677 5308768 7631354 10617536 15262708 30525416 61050832 122101664 244203328