Search a number
-
+
341958960 = 243257193571
BaseRepresentation
bin10100011000011…
…110000100110000
3212211110022111200
4110120132010300
51200020141320
653533211200
711321413620
oct2430360460
9784408450
10341958960
11166032912
1296630b00
1355acc1a5
14335b6880
152004b290
hex1461e130

341958960 has 240 divisors, whose sum is σ = 1381935360. Its totient is φ = 74027520.

The previous prime is 341958907. The next prime is 341958971. The reversal of 341958960 is 69859143.

It is a happy number.

341958960 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 589 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 93975 + ... + 97545.

It is an arithmetic number, because the mean of its divisors is an integer number (5758064).

Almost surely, 2341958960 is an apocalyptic number.

341958960 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 341958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690967680).

341958960 is an abundant number, since it is smaller than the sum of its proper divisors (1039976400).

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

341958960 is a wasteful number, since it uses less digits than its factorization.

341958960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 341958960 is about 18492.1323810966. The cubic root of 341958960 is about 699.2910918365.

The spelling of 341958960 in words is "three hundred forty-one million, nine hundred fifty-eight thousand, nine hundred sixty".