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306307740 = 223519893019
BaseRepresentation
bin10010010000011…
…110001010011100
3210100101001020010
4102100132022130
51111403321430
650221123220
710406400324
oct2220361234
9710331203
10306307740
111479a25a2
12866b9510
134b5c8bab
142c976284
151bd57cb0
hex1241e29c

306307740 has 96 divisors (see below), whose sum is σ = 913248000. Its totient is φ = 76488192.

The previous prime is 306307739. The next prime is 306307741. The reversal of 306307740 is 47703603.

It is an interprime number because it is at equal distance from previous prime (306307739) and next prime (306307741).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 306307698 and 306307707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306307741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99951 + ... + 102969.

It is an arithmetic number, because the mean of its divisors is an integer number (9513000).

Almost surely, 2306307740 is an apocalyptic number.

306307740 is a gapful number since it is divisible by the number (30) 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 306307740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456624000).

306307740 is an abundant number, since it is smaller than the sum of its proper divisors (606940260).

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

306307740 is a wasteful number, since it uses less digits than its factorization.

306307740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 306307740 is about 17501.6496365343. The cubic root of 306307740 is about 674.0922337947.

The spelling of 306307740 in words is "three hundred six million, three hundred seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 89 95 114 178 190 228 267 285 356 380 445 534 570 890 1068 1140 1335 1691 1780 2670 3019 3382 5073 5340 6038 6764 8455 9057 10146 12076 15095 16910 18114 20292 25365 30190 33820 36228 45285 50730 57361 60380 90570 101460 114722 172083 181140 229444 268691 286805 344166 537382 573610 688332 806073 860415 1074764 1147220 1343455 1612146 1720830 2686910 3224292 3441660 4030365 5105129 5373820 8060730 10210258 15315387 16121460 20420516 25525645 30630774 51051290 61261548 76576935 102102580 153153870 306307740