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304420320 = 25325211403
BaseRepresentation
bin10010001001010…
…001010111100000
3210012211011011200
4102021101113200
51110412422240
650112441200
710354346541
oct2211212740
9705734150
10304420320
11146923546
1285b49200
134b0b7a89
142c6044c8
151bad3930
hex122515e0

304420320 has 72 divisors (see below), whose sum is σ = 1038839256. Its totient is φ = 81178368.

The previous prime is 304420313. The next prime is 304420327. The reversal of 304420320 is 23024403.

304420320 is a `hidden beast` number, since 304 + 42 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (304420313) and next prime (304420327).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 304420293 and 304420302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304420327) 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 11 ways as a sum of consecutive naturals, for example, 104262 + ... + 107141.

It is an arithmetic number, because the mean of its divisors is an integer number (14428323).

Almost surely, 2304420320 is an apocalyptic number.

304420320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304420320 is an abundant number, since it is smaller than the sum of its proper divisors (734418936).

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

304420320 is a wasteful number, since it uses less digits than its factorization.

304420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211424 (or 211413 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 304420320 is about 17447.6451133097. The cubic root of 304420320 is about 672.7048302051.

Adding to 304420320 its reverse (23024403), we get a palindrome (327444723).

The spelling of 304420320 in words is "three hundred four million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 211403 422806 634209 845612 1057015 1268418 1691224 1902627 2114030 2536836 3171045 3382448 3805254 4228060 5073672 6342090 6764896 7610508 8456120 9513135 10147344 12684180 15221016 16912240 19026270 20294688 25368360 30442032 33824480 38052540 50736720 60884064 76105080 101473440 152210160 304420320