Search a number
-
+
306885840 = 243543131227
BaseRepresentation
bin10010010010101…
…011010011010000
3210101110102020020
4102102223103100
51112030321330
650241343440
710414325622
oct2222532320
9711412206
10306885840
11148257968
1286937b80
134b76c071
142ca86c12
151be1e210
hex124ab4d0

306885840 has 160 divisors (see below), whose sum is σ = 985222656. Its totient is φ = 78973440.

The previous prime is 306885829. The next prime is 306885863. The reversal of 306885840 is 48588603.

It is a junction number, because it is equal to n+sod(n) for n = 306885792 and 306885801.

It is a congruent number.

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, 1351807 + ... + 1352033.

Almost surely, 2306885840 is an apocalyptic number.

306885840 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 306885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492611328).

306885840 is an abundant number, since it is smaller than the sum of its proper divisors (678336816).

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

306885840 is a wasteful number, since it uses less digits than its factorization.

306885840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 306885840 is about 17518.1574373562. The cubic root of 306885840 is about 674.5160426730.

The spelling of 306885840 in words is "three hundred six million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 131 172 215 227 240 258 262 344 393 430 454 516 524 645 655 681 688 786 860 908 1032 1048 1135 1290 1310 1362 1572 1720 1816 1965 2064 2096 2270 2580 2620 2724 3144 3405 3440 3632 3930 4540 5160 5240 5448 5633 6288 6810 7860 9080 9761 10320 10480 10896 11266 13620 15720 16899 18160 19522 22532 27240 28165 29283 29737 31440 33798 39044 45064 48805 54480 56330 58566 59474 67596 78088 84495 89211 90128 97610 112660 117132 118948 135192 146415 148685 156176 168990 178422 195220 225320 234264 237896 270384 292830 297370 337980 356844 390440 446055 450640 468528 475792 585660 594740 675960 713688 780880 892110 1171320 1189480 1278691 1351920 1427376 1784220 2342640 2378960 2557382 3568440 3836073 5114764 6393455 7136880 7672146 10229528 12786910 15344292 19180365 20459056 25573820 30688584 38360730 51147640 61377168 76721460 102295280 153442920 306885840