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30340414104 = 2337112132937107
BaseRepresentation
bin11100010000011011…
…011111101010011000
32220022110211201201220
4130100123133222120
5444114121222404
621534352212040
72122602156540
oct342033375230
986273751656
1030340414104
111195a411200
125a68b3a020
132b26a73070
14167b73c320
15bc896c4d9
hex7106dfa98

30340414104 has 768 divisors, whose sum is σ = 110039731200. Its totient is φ = 6769889280.

The previous prime is 30340414087. The next prime is 30340414121. The reversal of 30340414104 is 40141404303.

It is an interprime number because it is at equal distance from previous prime (30340414087) and next prime (30340414121).

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 191 ways as a sum of consecutive naturals, for example, 283555219 + ... + 283555325.

It is an arithmetic number, because the mean of its divisors is an integer number (143280900).

Almost surely, 230340414104 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 30340414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55019865600).

30340414104 is an abundant number, since it is smaller than the sum of its proper divisors (79699317096).

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

30340414104 is a wasteful number, since it uses less digits than its factorization.

30340414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30340414104 its reverse (40141404303), we get a palindrome (70481818407).

It can be divided in two parts, 30340 and 414104, that added together give a palindrome (444444).

The spelling of 30340414104 in words is "thirty billion, three hundred forty million, four hundred fourteen thousand, one hundred four".