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30420003504 = 243111923131839
BaseRepresentation
bin11100010101001011…
…000110101010110000
32220112000121021212110
4130111023012222300
5444300010103004
621550314125320
72124556522602
oct342513065260
986460537773
1030420003504
11119a0331970
125a8b720840
132b3a3bb597
141688139172
15bd093e589
hex7152c6ab0

30420003504 has 160 divisors (see below), whose sum is σ = 94165401600. Its totient is φ = 8353255680.

The previous prime is 30420003503. The next prime is 30420003517. The reversal of 30420003504 is 40530002403.

It is a happy number.

It is a super-2 number, since 2×304200035042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30420003503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164817 + ... + 296655.

It is an arithmetic number, because the mean of its divisors is an integer number (588533760).

Almost surely, 230420003504 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 30420003504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47082700800).

30420003504 is an abundant number, since it is smaller than the sum of its proper divisors (63745398096).

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

30420003504 is a wasteful number, since it uses less digits than its factorization.

30420003504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131903 (or 131897 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 30420003504 its reverse (40530002403), we get a palindrome (70950005907).

The spelling of 30420003504 in words is "thirty billion, four hundred twenty million, three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 132 138 152 176 184 209 228 253 264 276 304 368 418 437 456 506 528 552 627 759 836 874 912 1012 1104 1254 1311 1518 1672 1748 2024 2508 2622 3036 3344 3496 4048 4807 5016 5244 6072 6992 9614 10032 10488 12144 14421 19228 20976 28842 38456 57684 76912 115368 131839 230736 263678 395517 527356 791034 1054712 1450229 1582068 2109424 2504941 2900458 3032297 3164136 4350687 5009882 5800916 6064594 6328272 7514823 8701374 9096891 10019764 11601832 12129188 15029646 17402748 18193782 20039528 23203664 24258376 27554351 30059292 33355267 34805496 36387564 40079056 48516752 55108702 57613643 60118584 66710534 69610992 72775128 82663053 100065801 110217404 115227286 120237168 133421068 145550256 165326106 172840929 200131602 220434808 230454572 266842136 330652212 345681858 400263204 440869616 460909144 533684272 633750073 661304424 691363716 800526408 921818288 1267500146 1322608848 1382727432 1601052816 1901250219 2535000292 2765454864 3802500438 5070000584 7605000876 10140001168 15210001752 30420003504