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304400320 = 2657135893
BaseRepresentation
bin10010001001001…
…100011111000000
3210012210010201221
4102021030133000
51110411302240
650112204424
710354234330
oct2211143700
9705703657
10304400320
1114690a514
1285b39714
134b0ab943
142c5db0c0
151bacca4a
hex1224c7c0

304400320 has 56 divisors (see below), whose sum is σ = 828409824. Its totient is φ = 104365056.

The previous prime is 304400281. The next prime is 304400321. The reversal of 304400320 is 23004403.

304400320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3044003202 = 185319109632204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 304400294 and 304400303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304400321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65707 + ... + 70186.

Almost surely, 2304400320 is an apocalyptic number.

It is an amenable number.

304400320 is an abundant number, since it is smaller than the sum of its proper divisors (524009504).

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

304400320 is a wasteful number, since it uses less digits than its factorization.

304400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135917 (or 135907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 304400320 is about 17447.0719606472. The cubic root of 304400320 is about 672.6900979524.

Adding to 304400320 its reverse (23004403), we get a palindrome (327404723).

The spelling of 304400320 in words is "three hundred four million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 135893 271786 543572 679465 951251 1087144 1358930 1902502 2174288 2717860 3805004 4348576 4756255 5435720 7610008 8697152 9512510 10871440 15220016 19025020 21742880 30440032 38050040 43485760 60880064 76100080 152200160 304400320