Search a number
-
+
355313232 = 24324721117
BaseRepresentation
bin10101001011011…
…010011001010000
3220202120210010100
4111023122121100
51211430010412
655131332400
711543053431
oct2513323120
9822523110
10355313232
111726240aa
129abb1100
13587c6721
1435291488
15212d7edc
hex152da650

355313232 has 90 divisors (see below), whose sum is σ = 1016900378. Its totient is φ = 115814016.

The previous prime is 355313213. The next prime is 355313293. The reversal of 355313232 is 232313553.

It can be written as a sum of positive squares in only one way, i.e., 215032896 + 140280336 = 14664^2 + 11844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 355313196 and 355313205.

It is a congruent number.

It is an unprimeable number.

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, 317538 + ... + 318654.

Almost surely, 2355313232 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 355313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508450189).

355313232 is an abundant number, since it is smaller than the sum of its proper divisors (661587146).

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

355313232 is a wasteful number, since it uses less digits than its factorization.

355313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1169 counting only the distinct ones).

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

The square root of 355313232 is about 18849.7541628532. The cubic root of 355313232 is about 708.2780675436.

Adding to 355313232 its reverse (232313553), we get a palindrome (587626785).

The spelling of 355313232 in words is "three hundred fifty-five million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1117 1128 1692 2209 2234 2256 3351 3384 4418 4468 6627 6702 6768 8836 8936 10053 13254 13404 17672 17872 19881 20106 26508 26808 35344 39762 40212 52499 53016 53616 79524 80424 104998 106032 157497 159048 160848 209996 314994 318096 419992 472491 629988 839984 944982 1259976 1889964 2467453 2519952 3779928 4934906 7402359 7559856 9869812 14804718 19739624 22207077 29609436 39479248 44414154 59218872 88828308 118437744 177656616 355313232