Search a number
-
+
1742325444 = 2233176011579
BaseRepresentation
bin110011111011001…
…1100011011000100
311111102111022012000
41213312130123010
512032013403234
6444520025300
761114344006
oct14766343304
94442438160
101742325444
11814551992
12407602230
13219c78702
14127582376
15a2e64899
hex67d9c6c4

1742325444 has 96 divisors (see below), whose sum is σ = 4793846400. Its totient is φ = 545356800.

The previous prime is 1742325439. The next prime is 1742325451. The reversal of 1742325444 is 4445232471.

1742325444 is a `hidden beast` number, since 174 + 23 + 25 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1742325399 and 1742325408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102647 + ... + 1104225.

It is an arithmetic number, because the mean of its divisors is an integer number (49935900).

Almost surely, 21742325444 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 1742325444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396923200).

1742325444 is an abundant number, since it is smaller than the sum of its proper divisors (3051520956).

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

1742325444 is a wasteful number, since it uses less digits than its factorization.

1742325444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2202 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 1742325444 is about 41741.1720487099. The cubic root of 1742325444 is about 1203.3069533449.

The spelling of 1742325444 in words is "one billion, seven hundred forty-two million, three hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 601 612 918 1202 1579 1803 1836 2404 3158 3606 4737 5409 6316 7212 9474 10217 10818 14211 16227 18948 20434 21636 26843 28422 30651 32454 40868 42633 53686 56844 61302 64908 80529 85266 91953 107372 122604 161058 170532 183906 241587 275859 322116 367812 483174 551718 724761 948979 966348 1103436 1449522 1897958 2846937 2899044 3795916 5693874 8540811 11387748 16132643 17081622 25622433 32265286 34163244 48397929 51244866 64530572 96795858 102489732 145193787 193591716 290387574 435581361 580775148 871162722 1742325444