Search a number
-
+
244608 = 2737213
BaseRepresentation
bin111011101110000000
3110102112120
4323232000
530311413
65124240
72036100
oct735600
9412476
10244608
11157861
12b9680
1387450
1465200
154c723
hex3bb80

244608 has 96 divisors (see below), whose sum is σ = 813960. Its totient is φ = 64512.

The previous prime is 244603. The next prime is 244619. The reversal of 244608 is 806442.

244608 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 (96).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18810 + ... + 18822.

2244608 is an apocalyptic number.

244608 is a gapful number since it is divisible by the number (28) 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 244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980).

244608 is an abundant number, since it is smaller than the sum of its proper divisors (569352).

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

244608 is a wasteful number, since it uses less digits than its factorization.

244608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 244608 is about 494.5786085144. The cubic root of 244608 is about 62.5398572437.

It can be divided in two parts, 24 and 4608, that multiplied together give a cube (110592 = 483).

The spelling of 244608 in words is "two hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 182 192 196 208 224 273 294 312 336 364 384 392 416 448 546 588 624 637 672 728 784 832 896 1092 1176 1248 1274 1344 1456 1568 1664 1911 2184 2352 2496 2548 2688 2912 3136 3822 4368 4704 4992 5096 5824 6272 7644 8736 9408 10192 11648 15288 17472 18816 20384 30576 34944 40768 61152 81536 122304 244608