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304004011032 = 233361200311519
BaseRepresentation
bin1000110110010000000…
…11010001010000011000
31002001200120011212022000
410123020003101100120
514440100011323112
6351354005001000
730651334313031
oct4331003212030
91061616155260
10304004011032
11107a22380027
124ab023b3160
132288a525bc7
14109dcc1ba88
157d93e777dc
hex46c80d1418

304004011032 has 128 divisors (see below), whose sum is σ = 858802176000. Its totient is φ = 99615035520.

The previous prime is 304004011019. The next prime is 304004011037. The reversal of 304004011032 is 230110400403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304004010996 and 304004011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304004011037) 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, 26385769 + ... + 26397287.

It is an arithmetic number, because the mean of its divisors is an integer number (6709392000).

Almost surely, 2304004011032 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 304004011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429401088000).

304004011032 is an abundant number, since it is smaller than the sum of its proper divisors (554798164968).

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

304004011032 is a wasteful number, since it uses less digits than its factorization.

304004011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 304004011032 its reverse (230110400403), we get a palindrome (534114411435).

The spelling of 304004011032 in words is "three hundred four billion, four million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2003 2196 3294 4006 4392 6009 6588 8012 11519 12018 13176 16024 18027 23038 24036 34557 36054 46076 48072 54081 69114 72108 92152 103671 108162 122183 138228 144216 207342 216324 244366 276456 311013 366549 414684 432648 488732 622026 702659 733098 829368 977464 1099647 1244052 1405318 1466196 2107977 2199294 2488104 2810636 2932392 3298941 4215954 4398588 5621272 6323931 6597882 8431908 8797176 12647862 13195764 16863816 18971793 23072557 25295724 26391528 37943586 46145114 50591448 69217671 75887172 92290228 138435342 151774344 184580456 207653013 276870684 415306026 553741368 622959039 830612052 1245918078 1407425977 1661224104 2491836156 2814851954 4222277931 4983672312 5629703908 8444555862 11259407816 12666833793 16889111724 25333667586 33778223448 38000501379 50667335172 76001002758 101334670344 152002005516 304004011032