Search a number
-
+
153343332 = 223217435827
BaseRepresentation
bin10010010001111…
…01010101100100
3101200112122111200
421020331111210
5303223441312
623114402500
73541253052
oct1110752544
9350478450
10153343332
117961612a
1243430430
13259cc8cc
14165191d2
15d6e00dc
hex923d564

153343332 has 72 divisors (see below), whose sum is σ = 420035616. Its totient is φ = 46980864.

The previous prime is 153343331. The next prime is 153343343. The reversal of 153343332 is 233343351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153343296 and 153343305.

It is not an unprimeable number, because it can be changed into a prime (153343331) 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 23 ways as a sum of consecutive naturals, for example, 23403 + ... + 29229.

It is an arithmetic number, because the mean of its divisors is an integer number (5833828).

Almost surely, 2153343332 is an apocalyptic number.

153343332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153343332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210017808).

153343332 is an abundant number, since it is smaller than the sum of its proper divisors (266692284).

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

153343332 is a wasteful number, since it uses less digits than its factorization.

153343332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5892 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 153343332 is about 12383.1874733447. The cubic root of 153343332 is about 535.2478916436.

Adding to 153343332 its reverse (233343351), we get a palindrome (386686683).

The spelling of 153343332 in words is "one hundred fifty-three million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 2193 2924 4386 5827 6579 8772 11654 13158 17481 23308 26316 34962 52443 69924 99059 104886 198118 209772 250561 297177 396236 501122 594354 751683 891531 1002244 1188708 1503366 1783062 2255049 3006732 3566124 4259537 4510098 8519074 9020196 12778611 17038148 25557222 38335833 51114444 76671666 153343332