Search a number
-
+
336094680 = 233537591283
BaseRepresentation
bin10100000010000…
…110010111011000
3212102102101020010
4110002012113120
51142020012210
653203401520
711220520605
oct2402062730
9772371203
10336094680
111627979a9
12946832a0
1354827bbc
14328cb6ac
151e78d920
hex140865d8

336094680 has 128 divisors (see below), whose sum is σ = 1053907200. Its totient is φ = 85658112.

The previous prime is 336094679. The next prime is 336094687. The reversal of 336094680 is 86490633.

It is a super-2 number, since 2×3360946802 = 225919267848604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336094687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261319 + ... + 262601.

It is an arithmetic number, because the mean of its divisors is an integer number (8233650).

Almost surely, 2336094680 is an apocalyptic number.

336094680 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 336094680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526953600).

336094680 is an abundant number, since it is smaller than the sum of its proper divisors (717812520).

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

336094680 is a wasteful number, since it uses less digits than its factorization.

336094680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 336094680 is about 18332.8852066444. The cubic root of 336094680 is about 695.2706224881.

The spelling of 336094680 in words is "three hundred thirty-six million, ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 59 60 74 111 118 120 148 177 185 222 236 295 296 354 370 444 472 555 590 708 740 885 888 1110 1180 1283 1416 1480 1770 2183 2220 2360 2566 3540 3849 4366 4440 5132 6415 6549 7080 7698 8732 10264 10915 12830 13098 15396 17464 19245 21830 25660 26196 30792 32745 38490 43660 47471 51320 52392 65490 75697 76980 87320 94942 130980 142413 151394 153960 189884 227091 237355 261960 284826 302788 378485 379768 454182 474710 569652 605576 712065 756970 908364 949420 1135455 1139304 1424130 1513940 1816728 1898840 2270910 2800789 2848260 3027880 4541820 5601578 5696520 8402367 9083640 11203156 14003945 16804734 22406312 28007890 33609468 42011835 56015780 67218936 84023670 112031560 168047340 336094680