Search a number
-
+
304314507 = 327193159139
BaseRepresentation
bin10010001000110…
…111100010001011
3210012121210000200
4102020313202023
51110401031012
650110303243
710353426210
oct2210674213
9705553020
10304314507
11146860aa2
1285ab7b23
134b07b873
142c5b7b07
151bab23dc
hex1223788b

304314507 has 96 divisors (see below), whose sum is σ = 559104000. Its totient is φ = 155597760.

The previous prime is 304314503. The next prime is 304314523. The reversal of 304314507 is 705413403.

It is not a de Polignac number, because 304314507 - 22 = 304314503 is a prime.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (304314503) 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 95 ways as a sum of consecutive naturals, for example, 2189244 + ... + 2189382.

It is an arithmetic number, because the mean of its divisors is an integer number (5824000).

Almost surely, 2304314507 is an apocalyptic number.

304314507 is a deficient number, since it is larger than the sum of its proper divisors (254789493).

304314507 is a wasteful number, since it uses less digits than its factorization.

304314507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 304314507 is about 17444.6125494377. The cubic root of 304314507 is about 672.6268796870.

The spelling of 304314507 in words is "three hundred four million, three hundred fourteen thousand, five hundred seven".

Divisors: 1 3 7 9 19 21 31 57 59 63 93 133 139 171 177 217 279 399 413 417 531 589 651 973 1121 1197 1239 1251 1767 1829 1953 2641 2919 3363 3717 4123 4309 5301 5487 7847 7923 8201 8757 10089 12369 12803 12927 16461 18487 23541 23769 24603 30163 34751 37107 38409 38781 55461 57407 70623 73809 81871 90489 104253 115227 155819 166383 172221 243257 245613 254231 271467 312759 467457 516663 573097 729771 736839 762693 1090733 1402371 1719291 1779617 2189313 2288079 3272199 4830389 5157873 5338851 9816597 14491167 16016553 33812723 43473501 101438169 304314507