Search a number
-
+
306863970 = 235721991049
BaseRepresentation
bin10010010010100…
…101111101100010
3210101102022020020
4102102211331202
51112024121340
650241054310
710414205100
oct2222457542
9711368206
10306863970
11148242496
1286927396
134b76211a
142ca7cc70
151be179d0
hex124a5f62

306863970 has 96 divisors (see below), whose sum is σ = 861840000. Its totient is φ = 69721344.

The previous prime is 306863969. The next prime is 306863981. The reversal of 306863970 is 79368603.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292006 + ... + 293054.

It is an arithmetic number, because the mean of its divisors is an integer number (8977500).

Almost surely, 2306863970 is an apocalyptic number.

306863970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 306863970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920000).

306863970 is an abundant number, since it is smaller than the sum of its proper divisors (554976030).

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

306863970 is a wasteful number, since it uses less digits than its factorization.

306863970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 306863970 is about 17517.5332167517. The cubic root of 306863970 is about 674.5000193245.

The spelling of 306863970 in words is "three hundred six million, eight hundred sixty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 199 210 245 294 398 490 597 735 995 1049 1194 1393 1470 1990 2098 2786 2985 3147 4179 5245 5970 6294 6965 7343 8358 9751 10490 13930 14686 15735 19502 20895 22029 29253 31470 36715 41790 44058 48755 51401 58506 73430 97510 102802 110145 146265 154203 208751 220290 257005 292530 308406 417502 514010 626253 771015 1043755 1252506 1461257 1542030 2087510 2922514 3131265 4383771 6262530 7306285 8767542 10228799 14612570 20457598 21918855 30686397 43837710 51143995 61372794 102287990 153431985 306863970