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30204400344 = 2331726171389
BaseRepresentation
bin11100001000010100…
…101001001011011000
32212221222220111221020
4130020110221023120
5443324311302334
621513053042440
72116331111136
oct341024511330
985858814836
1030204400344
111189a662038
125a2b486420
132b04830251
141667654756
15bbba51e49
hex7085292d8

30204400344 has 96 divisors (see below), whose sum is σ = 81530235600. Its totient is φ = 9320417280.

The previous prime is 30204400307. The next prime is 30204400379. The reversal of 30204400344 is 44300440203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 387402 + ... + 458790.

Almost surely, 230204400344 is an apocalyptic number.

30204400344 is a gapful number since it is divisible by the number (34) 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 30204400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765117800).

30204400344 is an abundant number, since it is smaller than the sum of its proper divisors (51325835256).

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

30204400344 is a wasteful number, since it uses less digits than its factorization.

30204400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71493 (or 71472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 30204400344 its reverse (44300440203), we get a palindrome (74504840547).

The spelling of 30204400344 in words is "thirty billion, two hundred four million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 289 366 408 488 578 732 867 1037 1156 1464 1734 2074 2312 3111 3468 4148 6222 6936 8296 12444 17629 24888 35258 52887 70516 71389 105774 141032 142778 211548 214167 285556 423096 428334 571112 856668 1213613 1713336 2427226 3640839 4354729 4854452 7281678 8709458 9708904 13064187 14563356 17418916 20631421 26128374 29126712 34837832 41262842 52256748 61894263 74030393 82525684 104513496 123788526 148060786 165051368 222091179 247577052 296121572 444182358 495154104 592243144 888364716 1258516681 1776729432 2517033362 3775550043 5034066724 7551100086 10068133448 15102200172 30204400344