[go: up one dir, main page]

Search a number
-
+
3454542120 = 2335175389359
BaseRepresentation
bin1100110111101000…
…0010000100101000
322220202022220220110
43031322002010220
524033330321440
61330442454320
7151415060241
oct31572020450
98822286813
103454542120
111512aa9697
12804b043a0
13430911783
1424ab27cc8
1515342d080
hexcde82128

3454542120 has 256 divisors, whose sum is σ = 11337408000. Its totient is φ = 838762496.

The previous prime is 3454542107. The next prime is 3454542139. The reversal of 3454542120 is 212454543.

It is a super-2 number, since 2×34545421202 = 23867722517708188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9622501 + ... + 9622859.

It is an arithmetic number, because the mean of its divisors is an integer number (44286750).

Almost surely, 23454542120 is an apocalyptic number.

3454542120 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 3454542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668704000).

3454542120 is an abundant number, since it is smaller than the sum of its proper divisors (7882865880).

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

3454542120 is a wasteful number, since it uses less digits than its factorization.

3454542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3454542120 is about 58775.3529976639. The cubic root of 3454542120 is about 1511.6926357950.

Adding to 3454542120 its reverse (212454543), we get a palindrome (3666996663).

The spelling of 3454542120 in words is "three billion, four hundred fifty-four million, five hundred forty-two thousand, one hundred twenty".