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30408035641 = 103216932
BaseRepresentation
bin11100010100011101…
…011100110100111001
32220111012002021001021
4130110131130310321
5444233424120031
621545205422441
72124353016064
oct342435346471
986435067037
1030408035641
11119945a8275
125a8770aa21
132b37a8b0c9
1416867018db
15bce878511
hex71475cd39

30408035641 has 9 divisors (see below), whose sum is σ = 30724273359. Its totient is φ = 30095025336.

The previous prime is 30408035639. The next prime is 30408035659. The reversal of 30408035641 is 14653080403.

It is a happy number.

The square root of 30408035641 is 174379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11585293225 + 18822742416 = 107635^2 + 137196^2 .

It is not a de Polignac number, because 30408035641 - 21 = 30408035639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30408035597 and 30408035606.

It is not an unprimeable number, because it can be changed into a prime (30408035611) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 17960191 + ... + 17961883.

It is an arithmetic number, because the mean of its divisors is an integer number (3413808151).

Almost surely, 230408035641 is an apocalyptic number.

30408035641 is the 174379-th square number.

30408035641 is the 87190-th centered octagonal number.

It is an amenable number.

30408035641 is a deficient number, since it is larger than the sum of its proper divisors (316237718).

30408035641 is an frugal number, since it uses more digits than its factorization.

30408035641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 30408035641 in words is "thirty billion, four hundred eight million, thirty-five thousand, six hundred forty-one".

Divisors: 1 103 1693 10609 174379 2866249 17961037 295223647 30408035641