Search a number
-
+
306055680 = 293575693
BaseRepresentation
bin10010001111100…
…000101000000000
3210022220020110120
4102033200220000
51111322240210
650211500240
710404300420
oct2217405000
9708806416
10306055680
11147840187
12865b7680
134b53b248
142c90c480
151bd08270
hex123e0a00

306055680 has 160 divisors (see below), whose sum is σ = 1118392704. Its totient is φ = 69943296.

The previous prime is 306055663. The next prime is 306055699. The reversal of 306055680 is 86550603.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50914 + ... + 56606.

Almost surely, 2306055680 is an apocalyptic number.

306055680 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 306055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559196352).

306055680 is an abundant number, since it is smaller than the sum of its proper divisors (812337024).

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

306055680 is an equidigital number, since it uses as much as digits as its factorization.

306055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 306055680 is about 17494.4471190147. The cubic root of 306055680 is about 673.9072800219.

The spelling of 306055680 in words is "three hundred six million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 5693 6720 7680 8960 10752 11386 13440 17079 17920 22772 26880 28465 34158 39851 45544 53760 56930 68316 79702 85395 91088 113860 119553 136632 159404 170790 182176 199255 227720 239106 273264 318808 341580 364352 398510 455440 478212 546528 597765 637616 683160 728704 797020 910880 956424 1093056 1195530 1275232 1366320 1457408 1594040 1821760 1912848 2186112 2391060 2550464 2732640 2914816 3188080 3643520 3825696 4372224 4782120 5100928 5465280 6376160 7287040 7651392 8744448 9564240 10201856 10930560 12752320 14574080 15302784 19128480 20403712 21861120 25504640 30605568 38256960 43722240 51009280 61211136 76513920 102018560 153027840 306055680