Search a number
-
+
307588672424 = 2311219346327
BaseRepresentation
bin1000111100111011011…
…01101010101110101000
31002101221101100112021202
410132131231222232220
520014420200004144
6353145420423332
731136222401625
oct4363555525650
91071841315252
10307588672424
111094a1872200
124b7429a7b48
132300c095517
1410c5cd3734c
158003a0964e
hex479db6aba8

307588672424 has 96 divisors (see below), whose sum is σ = 669152366400. Its totient is φ = 132451593120.

The previous prime is 307588672393. The next prime is 307588672459. The reversal of 307588672424 is 424276885703.

It is a super-2 number, since 2×3075886724242 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 307588672424.

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, 6616349 + ... + 6662675.

It is an arithmetic number, because the mean of its divisors is an integer number (6970337150).

Almost surely, 2307588672424 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 307588672424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334576183200).

307588672424 is an abundant number, since it is smaller than the sum of its proper divisors (361563693976).

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

307588672424 is a wasteful number, since it uses less digits than its factorization.

307588672424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46412 (or 46359 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 307588672424 in words is "three hundred seven billion, five hundred eighty-eight million, six hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 418 484 722 836 968 1444 1672 2299 2888 3971 4598 6859 7942 9196 13718 15884 18392 27436 31768 43681 46327 54872 75449 87362 92654 150898 174724 185308 301796 349448 370616 509597 603592 829939 880213 1019194 1659878 1760426 2038388 3319756 3520852 4076776 5605567 6639512 7041704 9682343 11211134 16724047 19364686 22422268 33448094 38729372 44844536 66896188 77458744 106505773 133792376 183964517 213011546 317756893 367929034 426023092 635513786 735858068 852046184 1271027572 1471716136 2023609687 2542055144 3495325823 4047219374 6990651646 8094438748 13981303292 16188877496 27962606584 38448584053 76897168106 153794336212 307588672424