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304434112 = 2619298997
BaseRepresentation
bin10010001001010…
…100101111000000
3210012211212002111
4102021110233000
51110413342422
650113025104
710354435003
oct2211245700
9705755074
10304434112
11146932944
1285b55194
134b0c1138
142c60953a
151bad7a77
hex12254bc0

304434112 has 112 divisors (see below), whose sum is σ = 672084000. Its totient is φ = 136249344.

The previous prime is 304434107. The next prime is 304434121. The reversal of 304434112 is 211434403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3138448 + ... + 3138544.

It is an arithmetic number, because the mean of its divisors is an integer number (6000750).

Almost surely, 2304434112 is an apocalyptic number.

304434112 is a gapful number since it is divisible by the number (32) 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 304434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336042000).

304434112 is an abundant number, since it is smaller than the sum of its proper divisors (367649888).

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

304434112 is a wasteful number, since it uses less digits than its factorization.

304434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 304434112 is about 17448.0403484174. The cubic root of 304434112 is about 672.7149891907.

Adding to 304434112 its reverse (211434403), we get a palindrome (515868515).

The spelling of 304434112 in words is "three hundred four million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 89 97 116 152 178 194 232 304 356 388 464 551 608 712 776 928 1102 1216 1424 1552 1691 1843 1856 2204 2581 2813 2848 3104 3382 3686 4408 5162 5626 5696 6208 6764 7372 8633 8816 10324 11252 13528 14744 17266 17632 20648 22504 27056 29488 34532 35264 41296 45008 49039 53447 54112 58976 69064 82592 90016 98078 106894 108224 117952 138128 164027 165184 180032 196156 213788 250357 276256 328054 392312 427576 500714 552512 656108 784624 855152 1001428 1312216 1569248 1710304 2002856 2624432 3138496 3420608 4005712 4756783 5248864 8011424 9513566 10497728 16022848 19027132 38054264 76108528 152217056 304434112