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30452448240 = 243253141107311
BaseRepresentation
bin11100010111000110…
…110111101111110000
32220121021122122200100
4130113012313233300
5444331311320430
621553433352400
72125432352634
oct342706675760
986537578610
1030452448240
1111a076820a5
125a9a568700
132b4403b256
14168c582dc4
15bd36ec960
hex7171b7bf0

30452448240 has 480 divisors, whose sum is σ = 109504991232. Its totient is φ = 7570944000.

The previous prime is 30452448233. The next prime is 30452448241. The reversal of 30452448240 is 4284425403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30452448195 and 30452448204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30452448241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97917685 + ... + 97917995.

Almost surely, 230452448240 is an apocalyptic number.

30452448240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30452448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54752495616).

30452448240 is an abundant number, since it is smaller than the sum of its proper divisors (79052542992).

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

30452448240 is a wasteful number, since it uses less digits than its factorization.

30452448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 30452448240 in words is "thirty billion, four hundred fifty-two million, four hundred forty-eight thousand, two hundred forty".