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306230340 = 223513419937
BaseRepresentation
bin10010010000001…
…011010001000100
3210100020010001110
4102100023101010
51111343332330
650215325020
710405625553
oct2220132104
9710203043
10306230340
1114794a429
1286680770
134b59c8b0
142c955d9a
151bd3edb0
hex1240b444

306230340 has 96 divisors (see below), whose sum is σ = 926593920. Its totient is φ = 75119616.

The previous prime is 306230329. The next prime is 306230359. The reversal of 306230340 is 43032603.

It is a super-2 number, since 2×3062303402 = 187554042273031200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326352 + ... + 327288.

It is an arithmetic number, because the mean of its divisors is an integer number (9652020).

Almost surely, 2306230340 is an apocalyptic number.

306230340 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 306230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296960).

306230340 is an abundant number, since it is smaller than the sum of its proper divisors (620363580).

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

306230340 is a wasteful number, since it uses less digits than its factorization.

306230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 306230340 is about 17499.4382766991. The cubic root of 306230340 is about 674.0354508851.

Adding to 306230340 its reverse (43032603), we get a palindrome (349262943).

The spelling of 306230340 in words is "three hundred six million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 419 780 838 937 1257 1676 1874 2095 2514 2811 3748 4190 4685 5028 5447 5622 6285 8380 9370 10894 11244 12181 12570 14055 16341 18740 21788 24362 25140 27235 28110 32682 36543 48724 54470 56220 60905 65364 73086 81705 108940 121810 146172 163410 182715 243620 326820 365430 392603 730860 785206 1177809 1570412 1963015 2355618 3926030 4711236 5103839 5889045 7852060 10207678 11778090 15311517 20415356 23556180 25519195 30623034 51038390 61246068 76557585 102076780 153115170 306230340