Search a number
-
+
34828485120 = 2932511213312
BaseRepresentation
bin100000011011111100…
…001000001000000000
310022220020221100202100
4200123330020020000
51032312043010440
623555555150400
72342040144642
oct403374101000
9108806840670
1034828485120
1113852854400
1268bbba5400
133390830ca0
141985820892
15d8c9a1230
hex81bf08200

34828485120 has 1080 divisors, whose sum is σ = 147536393004. Its totient is φ = 7542374400.

The previous prime is 34828485091. The next prime is 34828485121. The reversal of 34828485120 is 2158482843.

34828485120 is a `hidden beast` number, since 3 + 48 + 2 + 8 + 485 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32417282304 + 2411202816 = 180048^2 + 49104^2 .

It is a super-2 number, since 2×348284851202 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34828485121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1123499505 + ... + 1123499535.

Almost surely, 234828485120 is an apocalyptic number.

34828485120 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 34828485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73768196502).

34828485120 is an abundant number, since it is smaller than the sum of its proper divisors (112707907884).

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

34828485120 is a wasteful number, since it uses less digits than its factorization.

34828485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 34828485120 in words is "thirty-four billion, eight hundred twenty-eight million, four hundred eighty-five thousand, one hundred twenty".