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313325532 = 2232131076257
BaseRepresentation
bin10010101011001…
…111011111011100
3210211120120211100
4102223033133130
51120202404112
651031353100
710523136342
oct2253173734
9724516740
10313325532
11150956123
1288b22790
134cbb5230
142d881992
151c7922dc
hex12acf7dc

313325532 has 72 divisors (see below), whose sum is σ = 861050736. Its totient is φ = 95491584.

The previous prime is 313325531. The next prime is 313325539. The reversal of 313325532 is 235523313.

It is a junction number, because it is equal to n+sod(n) for n = 313325496 and 313325505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313325531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46948 + ... + 53204.

It is an arithmetic number, because the mean of its divisors is an integer number (11959038).

Almost surely, 2313325532 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 313325532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430525368).

313325532 is an abundant number, since it is smaller than the sum of its proper divisors (547725204).

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

313325532 is a wasteful number, since it uses less digits than its factorization.

313325532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6382 counting only the distinct ones).

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

The square root of 313325532 is about 17701.0037003555. The cubic root of 313325532 is about 679.2014356914.

Adding to 313325532 its reverse (235523313), we get a palindrome (548848845).

It can be divided in two parts, 31332 and 5532, that added together give a square (36864 = 1922).

The spelling of 313325532 in words is "three hundred thirteen million, three hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2782 3852 4173 5564 6257 8346 12514 12519 16692 18771 25028 25038 37542 50076 56313 75084 81341 112626 162682 225252 244023 325364 488046 669499 732069 976092 1338998 1464138 2008497 2677996 2928276 4016994 6025491 8033988 8703487 12050982 17406974 24101964 26110461 34813948 52220922 78331383 104441844 156662766 313325532