Search a number
-
+
353253132 = 223217737907
BaseRepresentation
bin10101000011100…
…011011100001100
3220121201010012100
4111003203130030
51210413100012
655015235100
711516413341
oct2503433414
9817633170
10353253132
11171447341
129a378a90
1358254b2b
1434cb67c8
152102c8dc
hex150e370c

353253132 has 72 divisors (see below), whose sum is σ = 958544496. Its totient is φ = 109292544.

The previous prime is 353253083. The next prime is 353253137. The reversal of 353253132 is 231352353.

It is a junction number, because it is equal to n+sod(n) for n = 353253096 and 353253105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353253137) 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, 40723 + ... + 48629.

It is an arithmetic number, because the mean of its divisors is an integer number (13313118).

Almost surely, 2353253132 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 353253132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479272248).

353253132 is an abundant number, since it is smaller than the sum of its proper divisors (605291364).

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

353253132 is a wasteful number, since it uses less digits than its factorization.

353253132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8002 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 353253132 is about 18795.0294492986. The cubic root of 353253132 is about 706.9065520982.

The spelling of 353253132 in words is "three hundred fifty-three million, two hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 7446 7907 11169 14892 15814 22338 23721 31628 44676 47442 71163 94884 134419 142326 268838 284652 403257 537676 577211 806514 1154422 1209771 1613028 1731633 2308844 2419542 3463266 4839084 5194899 6926532 9812587 10389798 19625174 20779596 29437761 39250348 58875522 88313283 117751044 176626566 353253132