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304921296 = 24325339953
BaseRepresentation
bin10010001011001…
…011101011010000
3210020202121101100
4102023023223100
51111024440141
650131304400
710361534241
oct2213135320
9706677340
10304921296
11147135979
128614b100
134b231b04
142c6d4cc8
151bb820b6
hex122cbad0

304921296 has 60 divisors (see below), whose sum is σ = 869478948. Its totient is φ = 99720192.

The previous prime is 304921271. The next prime is 304921297. The reversal of 304921296 is 692129403.

It can be written as a sum of positive squares in 2 ways, for example, as 223921296 + 81000000 = 14964^2 + 9000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 304921296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304921297) 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 11 ways as a sum of consecutive naturals, for example, 12345 + ... + 27608.

Almost surely, 2304921296 is an apocalyptic number.

304921296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

304921296 is an abundant number, since it is smaller than the sum of its proper divisors (564557652).

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

304921296 is a wasteful number, since it uses less digits than its factorization.

304921296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40020 (or 40011 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 304921296 is about 17461.9957622260. The cubic root of 304921296 is about 673.0736451330.

It can be divided in two parts, 304 and 921296, that added together give a square (921600 = 9602).

The spelling of 304921296 in words is "three hundred four million, nine hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 39953 79906 119859 159812 239718 319624 359577 479436 639248 719154 958872 1438308 1917744 2117509 2876616 4235018 5753232 6352527 8470036 12705054 16940072 19057581 25410108 33880144 38115162 50820216 76230324 101640432 152460648 304921296