Search a number
-
+
331470048 = 253713191997
BaseRepresentation
bin10011110000011…
…101010011100000
3212002201102102110
4103300131103200
51134324020143
652520315320
711133306660
oct2360352340
9762642373
10331470048
11160119398
1293012b40
1353898c30
14320461a0
151e178533
hex13c1d4e0

331470048 has 192 divisors, whose sum is σ = 1127831040. Its totient is φ = 82778112.

The previous prime is 331470047. The next prime is 331470059. The reversal of 331470048 is 840074133.

331470048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3314700482 = 219744785442244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331469997 and 331470024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331470047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 164986 + ... + 166982.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2331470048 is an apocalyptic number.

331470048 is a gapful number since it is divisible by the number (38) 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 331470048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563915520).

331470048 is an abundant number, since it is smaller than the sum of its proper divisors (796360992).

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

331470048 is a wasteful number, since it uses less digits than its factorization.

331470048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 331470048 is about 18206.3189030622. The cubic root of 331470048 is about 692.0669297198.

It can be divided in two parts, 33 and 1470048, that multiplied together give a palindrome (48511584).

The spelling of 331470048 in words is "three hundred thirty-one million, four hundred seventy thousand, forty-eight".