[go: up one dir, main page]

Search a number
-
+
3053232 = 2432713233
BaseRepresentation
bin1011101001011010110000
312202010020200
423221122300
51240200412
6145235200
734644360
oct13513260
95663220
103053232
1117a5a36
121032b00
1382b960
145969a0
154049dc
hex2e96b0

3053232 has 120 divisors (see below), whose sum is σ = 10561824. Its totient is φ = 801792.

The previous prime is 3053231. The next prime is 3053249. The reversal of 3053232 is 2323503.

3053232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 32 + 0 + 58 + 39 + 24 + 313 + 220 .

It is not an unprimeable number, because it can be changed into a prime (3053231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12988 + ... + 13220.

Almost surely, 23053232 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 3053232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280912).

3053232 is an abundant number, since it is smaller than the sum of its proper divisors (7508592).

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

3053232 is a wasteful number, since it uses less digits than its factorization.

3053232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3053232 is about 1747.3499935617. The cubic root of 3053232 is about 145.0730032705.

Adding to 3053232 its reverse (2323503), we get a palindrome (5376735).

The spelling of 3053232 in words is "three million, fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 233 234 252 273 312 336 364 466 468 504 546 624 699 728 819 932 936 1008 1092 1398 1456 1631 1638 1864 1872 2097 2184 2796 3029 3262 3276 3728 4194 4368 4893 5592 6058 6524 6552 8388 9087 9786 11184 12116 13048 13104 14679 16776 18174 19572 21203 24232 26096 27261 29358 33552 36348 39144 42406 48464 54522 58716 63609 72696 78288 84812 109044 117432 127218 145392 169624 190827 218088 234864 254436 339248 381654 436176 508872 763308 1017744 1526616 3053232