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315342450 = 233521092143
BaseRepresentation
bin10010110010111…
…011111001110010
3210222101001112000
4102302323321302
51121211424300
651142514430
710546236513
oct2262737162
9728331460
10315342450
111520034a5
1289735a16
1350440287
142dc48a0a
151ca3ec00
hex12cbbe72

315342450 has 96 divisors (see below), whose sum is σ = 877324800. Its totient is φ = 83280960.

The previous prime is 315342427. The next prime is 315342457. The reversal of 315342450 is 54243513.

315342450 is a `hidden beast` number, since 315 + 342 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315342457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146079 + ... + 148221.

It is an arithmetic number, because the mean of its divisors is an integer number (9138800).

Almost surely, 2315342450 is an apocalyptic number.

315342450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315342450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438662400).

315342450 is an abundant number, since it is smaller than the sum of its proper divisors (561982350).

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

315342450 is a wasteful number, since it uses less digits than its factorization.

315342450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 315342450 is about 17757.8841645056. The cubic root of 315342450 is about 680.6556896361.

Adding to 315342450 its reverse (54243513), we get a palindrome (369585963).

The spelling of 315342450 in words is "three hundred fifteen million, three hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 109 135 150 218 225 270 327 450 545 654 675 981 1090 1350 1635 1962 2143 2725 2943 3270 4286 4905 5450 5886 6429 8175 9810 10715 12858 14715 16350 19287 21430 24525 29430 32145 38574 49050 53575 57861 64290 73575 96435 107150 115722 147150 160725 192870 233587 289305 321450 467174 482175 578610 700761 964350 1167935 1401522 1446525 2102283 2335870 2893050 3503805 4204566 5839675 6306849 7007610 10511415 11679350 12613698 17519025 21022830 31534245 35038050 52557075 63068490 105114150 157671225 315342450