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30422332304 = 24713181241479
BaseRepresentation
bin11100010101010011…
…111111001110010000
32220112011222121101022
4130111103333032100
5444301104113204
621550440055012
72124615362240
oct342523771620
986464877338
1030422332304
11119a16825a1
125a90464468
132b3aa25580
141688583b20
15bd0c4e5be
hex7154ff390

30422332304 has 160 divisors (see below), whose sum is σ = 73401968640. Its totient is φ = 11894169600.

The previous prime is 30422332273. The next prime is 30422332321. The reversal of 30422332304 is 40323322403.

It is a super-3 number, since 3×304223323043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63511937 + ... + 63512415.

It is an arithmetic number, because the mean of its divisors is an integer number (458762304).

Almost surely, 230422332304 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 30422332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36700984320).

30422332304 is an abundant number, since it is smaller than the sum of its proper divisors (42979636336).

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

30422332304 is a wasteful number, since it uses less digits than its factorization.

30422332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 30422332304 its reverse (40323322403), we get a palindrome (70745654707).

Subtracting 30422332304 from its reverse (40323322403), we obtain a palindrome (9900990099).

The spelling of 30422332304 in words is "thirty billion, four hundred twenty-two million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 181 182 208 241 362 364 479 482 724 728 958 964 1267 1448 1456 1687 1916 1928 2353 2534 2896 3133 3353 3374 3832 3856 4706 5068 6227 6266 6706 6748 7664 9412 10136 12454 12532 13412 13496 16471 18824 20272 21931 24908 25064 26824 26992 32942 37648 43589 43621 43862 49816 50128 53648 65884 86699 87178 87242 87724 99632 115439 131768 173398 174356 174484 175448 230878 263536 305347 346796 348712 348968 350896 461756 567073 606893 610694 693592 697424 697936 808073 923512 1127087 1134146 1213786 1221388 1387184 1500707 1616146 1847024 2254174 2268292 2427572 2442776 3001414 3232292 3969511 4508348 4536584 4855144 4885552 6002828 6464584 7889609 7939022 9016696 9073168 9710288 10504949 12005656 12929168 15779218 15878044 18033392 20894459 21009898 24011312 31558436 31756088 41788918 42019796 63116872 63512176 83577836 84039592 126233744 146261213 167155672 168079184 271627967 292522426 334311344 543255934 585044852 1086511868 1170089704 1901395769 2173023736 2340179408 3802791538 4346047472 7605583076 15211166152 30422332304