Search a number
-
+
341589248 = 28711133143
BaseRepresentation
bin10100010111000…
…011110100000000
3212210202112100122
4110113003310000
51144421323443
653521235412
711315314010
oct2427036400
9783675318
10341589248
11165900070
1296492b68
13559ccb20
143351bc40
151eec6968
hex145c3d00

341589248 has 288 divisors, whose sum is σ = 966991872. Its totient is φ = 116121600.

The previous prime is 341589247. The next prime is 341589251. The reversal of 341589248 is 842985143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 341589199 and 341589208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341589247) 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 31 ways as a sum of consecutive naturals, for example, 7943915 + ... + 7943957.

Almost surely, 2341589248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483495936).

341589248 is an abundant number, since it is smaller than the sum of its proper divisors (625402624).

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

341589248 is a wasteful number, since it uses less digits than its factorization.

341589248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 341589248 is about 18482.1332102114. The cubic root of 341589248 is about 699.0389860116.

The spelling of 341589248 in words is "three hundred forty-one million, five hundred eighty-nine thousand, two hundred forty-eight".