Search a number
-
+
74298132 = 22321925717
BaseRepresentation
bin1000110110110…
…11001100010100
312011210201212200
410123123030110
5123010020012
611212244500
71561344426
oct433331424
9164721780
1074298132
1138a37317
1220a70730
1312514cbc
149c20816
1567c93dc
hex46db314

74298132 has 54 divisors (see below), whose sum is σ = 198248778. Its totient is φ = 23458464.

The previous prime is 74298127. The next prime is 74298139. The reversal of 74298132 is 23189247.

It can be written as a sum of positive squares in only one way, i.e., 65512836 + 8785296 = 8094^2 + 2964^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74298139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10138 + ... + 15854.

Almost surely, 274298132 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 74298132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99124389).

74298132 is an abundant number, since it is smaller than the sum of its proper divisors (123950646).

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

74298132 is a wasteful number, since it uses less digits than its factorization.

74298132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5741 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 74298132 is about 8619.6364192465. The cubic root of 74298132 is about 420.3967000193.

The spelling of 74298132 in words is "seventy-four million, two hundred ninety-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 5717 6498 11434 12996 17151 22868 34302 51453 68604 102906 108623 205812 217246 325869 434492 651738 977607 1303476 1955214 2063837 3910428 4127674 6191511 8255348 12383022 18574533 24766044 37149066 74298132