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304801364 = 22721725381
BaseRepresentation
bin10010001010101…
…110011001010100
3210020112111212102
4102022232121110
51111012120424
650124541232
710360524500
oct2212563124
9706474772
10304801364
1114706385a
12860b1818
134b1bc34a
142c6a3300
151bb5b7ae
hex122ae654

304801364 has 54 divisors (see below), whose sum is σ = 659257326. Its totient is φ = 122922240.

The previous prime is 304801349. The next prime is 304801369. The reversal of 304801364 is 463108403.

It can be written as a sum of positive squares in 3 ways, for example, as 96864964 + 207936400 = 9842^2 + 14420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304801369) 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 17 ways as a sum of consecutive naturals, for example, 53954 + ... + 59334.

It is an arithmetic number, because the mean of its divisors is an integer number (12208469).

Almost surely, 2304801364 is an apocalyptic number.

304801364 is a gapful number since it is divisible by the number (34) 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 304801364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329628663).

304801364 is an abundant number, since it is smaller than the sum of its proper divisors (354455962).

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

304801364 is a wasteful number, since it uses less digits than its factorization.

304801364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 304801364 is about 17458.5613382088. The cubic root of 304801364 is about 672.9853888571.

Adding to 304801364 its reverse (463108403), we get a palindrome (767909767).

The spelling of 304801364 in words is "three hundred four million, eight hundred one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 4046 5381 8092 10762 14161 21524 28322 37667 56644 75334 91477 150668 182954 263669 365908 527338 640339 1054676 1280678 1555109 2561356 3110218 4482373 6220436 8964746 10885763 17929492 21771526 43543052 76200341 152400682 304801364