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305080534368 = 253273310331399
BaseRepresentation
bin1000111000010000011…
…01111000010101100000
31002011110120211220200200
410130020031320111200
514444301104044433
6352052502345200
731020115520031
oct4341015702540
91064416756620
10305080534368
1110842500aa35
124b162a2b200
13229cc576b6c
1410aa1ba8a88
157e08722613
hex4708378560

305080534368 has 144 divisors (see below), whose sum is σ = 870218949600. Its totient is φ = 101383944192.

The previous prime is 305080534327. The next prime is 305080534373. The reversal of 305080534368 is 863435080503.

305080534368 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 80 + 534 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218069733 + ... + 218071131.

It is an arithmetic number, because the mean of its divisors is an integer number (6043187150).

Almost surely, 2305080534368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305080534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435109474800).

305080534368 is an abundant number, since it is smaller than the sum of its proper divisors (565138415232).

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

305080534368 is a wasteful number, since it uses less digits than its factorization.

305080534368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 305080534368 in words is "three hundred five billion, eighty million, five hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 733 1033 1399 1466 2066 2199 2798 2932 3099 4132 4197 4398 5596 5864 6198 6597 8264 8394 8796 9297 11192 11728 12396 12591 13194 16528 16788 17592 18594 22384 23456 24792 25182 26388 33056 33576 35184 37188 44768 49584 50364 52776 67152 70368 74376 99168 100728 105552 134304 148752 201456 211104 297504 402912 757189 1025467 1445167 1514378 2050934 2271567 2890334 3028756 3076401 4101868 4335501 4543134 5780668 6057512 6152802 6814701 8203736 8671002 9086268 9229203 11561336 12115024 12305604 13006503 13629402 16407472 17342004 18172536 18458406 23122672 24230048 24611208 26013006 27258804 32814944 34684008 36345072 36916812 46245344 49222416 52026012 54517608 69368016 72690144 73833624 98444832 104052024 109035216 138736032 147667248 208104048 218070432 295334496 416208096 1059307411 2118614822 3177922233 4237229644 6355844466 8474459288 9533766699 12711688932 16948918576 19067533398 25423377864 33897837152 38135066796 50846755728 76270133592 101693511456 152540267184 305080534368