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317493300 = 223523728603
BaseRepresentation
bin10010111011001…
…001000000110100
3211010102022221010
4102323021000310
51122234241200
651300552220
710603435305
oct2273110064
9733368833
10317493300
11153242463
128a3b2670
1350a14277
14302487ac
151cd17150
hex12ec9034

317493300 has 72 divisors (see below), whose sum is σ = 943474336. Its totient is φ = 82373760.

The previous prime is 317493283. The next prime is 317493301. The reversal of 317493300 is 3394713.

317493300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317493301) 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, 3202 + ... + 25401.

Almost surely, 2317493300 is an apocalyptic number.

317493300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317493300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471737168).

317493300 is an abundant number, since it is smaller than the sum of its proper divisors (625981036).

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

317493300 is a wasteful number, since it uses less digits than its factorization.

317493300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28657 (or 28650 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 317493300 is about 17818.3416736800. The cubic root of 317493300 is about 682.1996961388.

The spelling of 317493300 in words is "three hundred seventeen million, four hundred ninety-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 28603 57206 85809 114412 143015 171618 286030 343236 429045 572060 715075 858090 1058311 1430150 1716180 2116622 2145225 2860300 3174933 4233244 4290450 5291555 6349866 8580900 10583110 12699732 15874665 21166220 26457775 31749330 52915550 63498660 79373325 105831100 158746650 317493300