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304690240 = 2652932833
BaseRepresentation
bin10010001010010…
…011010001000000
3210020022212102201
4102022103101000
51111000041430
650122322544
710356552511
oct2212232100
9706285381
10304690240
11146a98318
1286059454
134b1808aa
142c674a08
151bb388ca
hex12293440

304690240 has 56 divisors (see below), whose sum is σ = 750585240. Its totient is φ = 117669888.

The previous prime is 304690193. The next prime is 304690241. The reversal of 304690240 is 42096403.

It can be written as a sum of positive squares in 4 ways, for example, as 47665216 + 257025024 = 6904^2 + 16032^2 .

It is a super-2 number, since 2×3046902402 = 185672284702515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304690199 and 304690208.

It is not an unprimeable number, because it can be changed into a prime (304690241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7137 + ... + 25696.

Almost surely, 2304690240 is an apocalyptic number.

It is an amenable number.

304690240 is an abundant number, since it is smaller than the sum of its proper divisors (445895000).

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

304690240 is a wasteful number, since it uses less digits than its factorization.

304690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32879 (or 32869 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 304690240 is about 17455.3785407249. The cubic root of 304690240 is about 672.9035935992.

The spelling of 304690240 in words is "three hundred four million, six hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 32833 65666 131332 164165 262664 328330 525328 656660 952157 1050656 1313320 1904314 2101312 2626640 3808628 4760785 5253280 7617256 9521570 10506560 15234512 19043140 30469024 38086280 60938048 76172560 152345120 304690240