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315532240 = 245171912211
BaseRepresentation
bin10010110011101…
…010001111010000
3210222201200212021
4102303222033100
51121234012430
651150541224
710550660032
oct2263521720
9728650767
10315532240
11152123051
1289807814
13504a878a
142dc97c52
151ca7b07a
hex12cea3d0

315532240 has 80 divisors (see below), whose sum is σ = 817715520. Its totient is φ = 112527360.

The previous prime is 315532213. The next prime is 315532247. The reversal of 315532240 is 42235513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315532247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19735 + ... + 31945.

It is an arithmetic number, because the mean of its divisors is an integer number (10221444).

Almost surely, 2315532240 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 315532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408857760).

315532240 is an abundant number, since it is smaller than the sum of its proper divisors (502183280).

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

315532240 is a wasteful number, since it uses less digits than its factorization.

315532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 315532240 is about 17763.2271842703. The cubic root of 315532240 is about 680.7922139510.

Adding to 315532240 its reverse (42235513), we get a palindrome (357767753).

The spelling of 315532240 in words is "three hundred fifteen million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12211 12920 24422 25840 48844 61055 97688 122110 195376 207587 232009 244220 415174 464018 488440 830348 928036 976880 1037935 1160045 1660696 1856072 2075870 2320090 3321392 3712144 3944153 4151740 4640180 7888306 8303480 9280360 15776612 16606960 18560720 19720765 31553224 39441530 63106448 78883060 157766120 315532240