Search a number
-
+
304197348 = 223713475927
BaseRepresentation
bin10010001000011…
…010111011100100
3210012101211022110
4102020122323210
51110333303343
650104001020
710352430510
oct2210327344
9705354273
10304197348
11146790a74
1285a60170
134b03a440
142c587140
151ba8c833
hex1221aee4

304197348 has 96 divisors (see below), whose sum is σ = 892329984. Its totient is φ = 78507648.

The previous prime is 304197343. The next prime is 304197349. The reversal of 304197348 is 843791403.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (304197343) 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 31 ways as a sum of consecutive naturals, for example, 48361 + ... + 54287.

It is an arithmetic number, because the mean of its divisors is an integer number (9295104).

Almost surely, 2304197348 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 304197348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446164992).

304197348 is an abundant number, since it is smaller than the sum of its proper divisors (588132636).

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

304197348 is a wasteful number, since it uses less digits than its factorization.

304197348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 304197348 is about 17441.2541980214. The cubic root of 304197348 is about 672.5405496940.

The spelling of 304197348 in words is "three hundred four million, one hundred ninety-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 273 282 329 364 546 564 611 658 987 1092 1222 1316 1833 1974 2444 3666 3948 4277 5927 7332 8554 11854 12831 17108 17781 23708 25662 35562 41489 51324 71124 77051 82978 124467 154102 165956 231153 248934 278569 308204 462306 497868 539357 557138 835707 924612 1078714 1114276 1618071 1671414 1949983 2157428 3236142 3342828 3621397 3899966 5849949 6472284 7242794 7799932 10864191 11699898 14485588 21728382 23399796 25349779 43456764 50699558 76049337 101399116 152098674 304197348