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304030272 = 26371317401
BaseRepresentation
bin10010000111110…
…010001001000000
3210012002100010110
4102013302021000
51110312432042
650100231320
710351133430
oct2207621100
9705070113
10304030272
11146687497
128599b540
134acac390
142c5422c0
151ba5809c
hex121f2240

304030272 has 112 divisors (see below), whose sum is σ = 990104192. Its totient is φ = 80179200.

The previous prime is 304030271. The next prime is 304030273. The reversal of 304030272 is 272030403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (304030271) and next prime (304030273).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (304030271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8772 + ... + 26172.

It is an arithmetic number, because the mean of its divisors is an integer number (8840216).

Almost surely, 2304030272 is an apocalyptic number.

304030272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495052096).

304030272 is an abundant number, since it is smaller than the sum of its proper divisors (686073920).

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

304030272 is a wasteful number, since it uses less digits than its factorization.

304030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17436 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 304030272 is about 17436.4638616894. The cubic root of 304030272 is about 672.4173994171.

Adding to 304030272 its reverse (272030403), we get a palindrome (576060675).

The spelling of 304030272 in words is "three hundred four million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17401 17472 34802 52203 69604 104406 121807 139208 208812 226213 243614 278416 365421 417624 452426 487228 556832 678639 730842 835248 904852 974456 1113664 1357278 1461684 1583491 1670496 1809704 1948912 2714556 2923368 3166982 3340992 3619408 3897824 4750473 5429112 5846736 6333964 7238816 7795648 9500946 10858224 11693472 12667928 14477632 19001892 21716448 23386944 25335856 38003784 43432896 50671712 76007568 101343424 152015136 304030272