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315300450 = 23522578179
BaseRepresentation
bin10010110010110…
…001101001100010
3210222021220220110
4102302301221202
51121204103300
651141552150
710546003203
oct2262615142
9728256813
10315300450
11151a84993
1289715656
135042711a
142dc375aa
151ca32550
hex12cb1a62

315300450 has 48 divisors (see below), whose sum is σ = 785083680. Its totient is φ = 83742720.

The previous prime is 315300439. The next prime is 315300451. The reversal of 315300450 is 54003513.

It is not an unprimeable number, because it can be changed into a prime (315300451) 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, 34461 + ... + 42639.

It is an arithmetic number, because the mean of its divisors is an integer number (16355910).

Almost surely, 2315300450 is an apocalyptic number.

315300450 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 315300450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392541840).

315300450 is an abundant number, since it is smaller than the sum of its proper divisors (469783230).

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

315300450 is a wasteful number, since it uses less digits than its factorization.

315300450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 315300450 is about 17756.7015518085. The cubic root of 315300450 is about 680.6254697822.

Adding to 315300450 its reverse (54003513), we get a palindrome (369303963).

The spelling of 315300450 in words is "three hundred fifteen million, three hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 257 514 771 1285 1542 2570 3855 6425 7710 8179 12850 16358 19275 24537 38550 40895 49074 81790 122685 204475 245370 408950 613425 1226850 2102003 4204006 6306009 10510015 12612018 21020030 31530045 52550075 63060090 105100150 157650225 315300450