Search a number
-
+
248340480 = 213354347
BaseRepresentation
bin11101100110101…
…10000000000000
3122022022000002120
432303112000000
51002033343410
640350444240
76103600503
oct1663260000
9568260076
10248340480
111181aa973
126b203680
133c5b123b
1424da713a
1516c07570
hexecd6000

248340480 has 224 divisors, whose sum is σ = 830421504. Its totient is φ = 63307776.

The previous prime is 248340479. The next prime is 248340493. The reversal of 248340480 is 84043842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283817 + ... + 5283863.

Almost surely, 2248340480 is an apocalyptic number.

248340480 is a gapful number since it is divisible by the number (20) 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 248340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415210752).

248340480 is an abundant number, since it is smaller than the sum of its proper divisors (582081024).

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

248340480 is an equidigital number, since it uses as much as digits as its factorization.

248340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 248340480 is about 15758.8222910216. The cubic root of 248340480 is about 628.5635197746.

The spelling of 248340480 in words is "two hundred forty-eight million, three hundred forty thousand, four hundred eighty".