Search a number
-
+
1077444 = 22321732
BaseRepresentation
bin100000111000011000100
32000201222100
410013003010
5233434234
635032100
712105144
oct4070304
92021870
101077444
11676555
1243b630
132b9554
14200924
15164399
hex1070c4

1077444 has 27 divisors (see below), whose sum is σ = 2739373. Its totient is φ = 357072.

The previous prime is 1077421. The next prime is 1077449. The reversal of 1077444 is 4447701.

The square root of 1077444 is 1038.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 97344 = 990^2 + 312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1077449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6142 + ... + 6314.

21077444 is an apocalyptic number.

1077444 is the 1038-th square number.

It is an amenable number.

1077444 is an abundant number, since it is smaller than the sum of its proper divisors (1661929).

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

1077444 is a wasteful number, since it uses less digits than its factorization.

1077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The cubic root of 1077444 is about 102.5175540033.

Multiplying 1077444 by its product of nonzero digits (3136), we get a square (3378864384 = 581282).

It can be divided in two parts, 1077 and 444, that added together give a square (1521 = 392).

The spelling of 1077444 in words is "one million, seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 29929 59858 89787 119716 179574 269361 359148 538722 1077444