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30204333344 = 252922414657
BaseRepresentation
bin11100001000010100…
…011000110100100000
32212221222210010000202
4130020110120310200
5443324302131334
621513051404332
72116330411613
oct341024306440
985858703022
1030204333344
111189a616769
125a2b4536a8
132b048088c3
14166763817a
15bbba3c17e
hex708518d20

30204333344 has 72 divisors (see below), whose sum is σ = 61854821028. Its totient is φ = 14517780480.

The previous prime is 30204333317. The next prime is 30204333353. The reversal of 30204333344 is 44333340203.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13319929744 + 16884403600 = 115412^2 + 129940^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6483464 + ... + 6488120.

Almost surely, 230204333344 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 30204333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30927410514).

30204333344 is an abundant number, since it is smaller than the sum of its proper divisors (31650487684).

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

30204333344 is a wasteful number, since it uses less digits than its factorization.

30204333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 30204333344 its reverse (44333340203), we get a palindrome (74537673547).

The spelling of 30204333344 in words is "thirty billion, two hundred four million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 241 464 482 841 928 964 1682 1928 3364 3856 4657 6728 6989 7712 9314 13456 13978 18628 26912 27956 37256 55912 74512 111824 135053 149024 202681 223648 270106 405362 540212 810724 1080424 1122337 1621448 2160848 2244674 3242896 3916537 4321696 4489348 6485792 7833074 8978696 15666148 17957392 31332296 32547773 35914784 62664592 65095546 125329184 130191092 260382184 520764368 943885417 1041528736 1887770834 3775541668 7551083336 15102166672 30204333344