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30406004250 = 2353173234343
BaseRepresentation
bin11100010100010101…
…101100111000011010
32220111001021001111120
4130110111230320122
5444232414114000
621545054110110
72124326525466
oct342425547032
986431231446
1030406004250
1111993440036
125a86aab336
132b375295bb
1416863334a6
15bce5c66a0
hex71456ce1a

30406004250 has 64 divisors (see below), whose sum is σ = 76332402432. Its totient is φ = 8061364800.

The previous prime is 30406004243. The next prime is 30406004261. The reversal of 30406004250 is 5240060403.

It is a super-3 number, since 3×304060042503 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30406004250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12579 + ... + 246921.

It is an arithmetic number, because the mean of its divisors is an integer number (1192693788).

Almost surely, 230406004250 is an apocalyptic number.

30406004250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30406004250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38166201216).

30406004250 is an abundant number, since it is smaller than the sum of its proper divisors (45926398182).

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

30406004250 is a wasteful number, since it uses less digits than its factorization.

30406004250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234536 (or 234526 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 30406004250 its reverse (5240060403), we get a palindrome (35646064653).

The spelling of 30406004250 in words is "thirty billion, four hundred six million, four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 173 250 346 375 519 750 865 1038 1730 2595 4325 5190 8650 12975 21625 25950 43250 64875 129750 234343 468686 703029 1171715 1406058 2343430 3515145 5858575 7030290 11717150 17575725 29292875 35151450 40541339 58585750 81082678 87878625 121624017 175757250 202706695 243248034 405413390 608120085 1013533475 1216240170 2027066950 3040600425 5067667375 6081200850 10135334750 15203002125 30406004250