Search a number
-
+
30354104000 = 2653114147179
BaseRepresentation
bin11100010001001111…
…101101111011000000
32220100102121020202002
4130101033231323000
5444131122312000
621540001443132
72123126425013
oct342117557300
986312536662
1030354104000
1111967111670
125a716404a8
132b298572ac
14167d4a337a
15bc9c738d5
hex7113edec0

30354104000 has 448 divisors, whose sum is σ = 86272542720. Its totient is φ = 10480640000.

The previous prime is 30354103981. The next prime is 30354104009. The reversal of 30354104000 is 40145303.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30354104009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169575911 + ... + 169576089.

It is an arithmetic number, because the mean of its divisors is an integer number (192572640).

Almost surely, 230354104000 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 30354104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43136271360).

30354104000 is an abundant number, since it is smaller than the sum of its proper divisors (55918438720).

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

30354104000 is a wasteful number, since it uses less digits than its factorization.

30354104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 30354104000 its reverse (40145303), we get a palindrome (30394249303).

The spelling of 30354104000 in words is "thirty billion, three hundred fifty-four million, one hundred four thousand".