Search a number
-
+
270448464 = 243111331241
BaseRepresentation
bin10000000111101…
…011011101010000
3200211220012112210
4100013223131100
51023213322324
642500352120
76462526326
oct2007533520
9624805483
10270448464
1112972aa30
12766a5640
1344051ca0
1427cbdd16
1518b22d29
hex101eb750

270448464 has 240 divisors, whose sum is σ = 868819392. Its totient is φ = 71424000.

The previous prime is 270448463. The next prime is 270448469. The reversal of 270448464 is 464844072.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270448463) 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 47 ways as a sum of consecutive naturals, for example, 6596284 + ... + 6596324.

Almost surely, 2270448464 is an apocalyptic number.

270448464 is a gapful number since it is divisible by the number (24) 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 270448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434409696).

270448464 is an abundant number, since it is smaller than the sum of its proper divisors (598370928).

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

270448464 is a wasteful number, since it uses less digits than its factorization.

270448464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 270448464 is about 16445.3173882416. The cubic root of 270448464 is about 646.6880558814.

The spelling of 270448464 in words is "two hundred seventy million, four hundred forty-eight thousand, four hundred sixty-four".