Search a number
-
+
3501072 = 243241593
BaseRepresentation
bin1101010110110000010000
320120212120100
431112300100
51344013242
6203012400
741521131
oct15266020
96525510
103501072
111a81453
12120a100
13957753
14671c88
1549254c
hex356c10

3501072 has 60 divisors (see below), whose sum is σ = 10054044. Its totient is φ = 1136640.

The previous prime is 3501041. The next prime is 3501089. The reversal of 3501072 is 2701053.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 2509056 = 996^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5608 + ... + 6200.

Almost surely, 23501072 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 3501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027022).

3501072 is an abundant number, since it is smaller than the sum of its proper divisors (6552972).

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

3501072 is a wasteful number, since it uses less digits than its factorization.

3501072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 3501072 is about 1871.1151755036. The cubic root of 3501072 is about 151.8449480752.

The spelling of 3501072 in words is "three million, five hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 593 656 738 984 1186 1476 1779 1968 2372 2952 3558 4744 5337 5904 7116 9488 10674 14232 21348 24313 28464 42696 48626 72939 85392 97252 145878 194504 218817 291756 389008 437634 583512 875268 1167024 1750536 3501072