Search a number
-
+
68644144 = 24231031811
BaseRepresentation
bin1000001011101…
…10110100110000
311210011111001201
410011312310300
5120033103034
610451140544
71462315462
oct405666460
9153144051
1068644144
11358253a8
121aba4754
13112b564a
14918c132
15605e014
hex4176d30

68644144 has 40 divisors (see below), whose sum is σ = 140205312. Its totient is φ = 32493120.

The previous prime is 68644141. The next prime is 68644171. The reversal of 68644144 is 44144686.

It is not an unprimeable number, because it can be changed into a prime (68644141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36999 + ... + 38809.

Almost surely, 268644144 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 68644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70102656).

68644144 is an abundant number, since it is smaller than the sum of its proper divisors (71561168).

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

68644144 is a wasteful number, since it uses less digits than its factorization.

68644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 68644144 is about 8285.1761598653. The cubic root of 68644144 is about 409.4502725755.

It can be divided in two parts, 68644 and 144, that multiplied together give a square (9884736 = 31442).

The spelling of 68644144 in words is "sixty-eight million, six hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 103 184 206 368 412 824 1648 1811 2369 3622 4738 7244 9476 14488 18952 28976 37904 41653 83306 166612 186533 333224 373066 666448 746132 1492264 2984528 4290259 8580518 17161036 34322072 68644144