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305047680 = 2735722697
BaseRepresentation
bin10010001011101…
…010100010000000
3210021000000202020
4102023222202000
51111043011210
650134121440
710362601560
oct2213524200
9707000666
10305047680
11147211923
12861b0280
134b2774b2
142c728da0
151bba9770
hex122ea880

305047680 has 128 divisors (see below), whose sum is σ = 1111294080. Its totient is φ = 69722112.

The previous prime is 305047663. The next prime is 305047693. The reversal of 305047680 is 86740503.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2092 + ... + 24788.

It is an arithmetic number, because the mean of its divisors is an integer number (8681985).

Almost surely, 2305047680 is an apocalyptic number.

305047680 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 305047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555647040).

305047680 is an abundant number, since it is smaller than the sum of its proper divisors (806246400).

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

305047680 is a wasteful number, since it uses less digits than its factorization.

305047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22726 (or 22714 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 305047680 is about 17465.6142176564. The cubic root of 305047680 is about 673.1666243058.

The spelling of 305047680 in words is "three hundred five million, forty-seven 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 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 22697 45394 68091 90788 113485 136182 158879 181576 226970 272364 317758 340455 363152 453940 476637 544728 635516 680910 726304 794395 907880 953274 1089456 1271032 1361820 1452608 1588790 1815760 1906548 2178912 2383185 2542064 2723640 2905216 3177580 3631520 3813096 4357824 4766370 5084128 5447280 6355160 7263040 7626192 8715648 9532740 10168256 10894560 12710320 14526080 15252384 19065480 20336512 21789120 25420640 30504768 38130960 43578240 50841280 61009536 76261920 101682560 152523840 305047680