Search a number
-
+
341514420 = 2235134159181
BaseRepresentation
bin10100010110110…
…001100010110100
3212210121201201020
4110112301202310
51144411430140
653515501140
711314552602
oct2426614264
9783551636
10341514420
11165859925
12964577b0
13559a4a50
14334dc872
151eeae6d0
hex145b18b4

341514420 has 192 divisors, whose sum is σ = 1078721280. Its totient is φ = 80179200.

The previous prime is 341514409. The next prime is 341514427. The reversal of 341514420 is 24415143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341514427) 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 63 ways as a sum of consecutive naturals, for example, 1886730 + ... + 1886910.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2341514420 is an apocalyptic number.

341514420 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 341514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539360640).

341514420 is an abundant number, since it is smaller than the sum of its proper divisors (737206860).

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

341514420 is a wasteful number, since it uses less digits than its factorization.

341514420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 341514420 is about 18480.1087659137. The cubic root of 341514420 is about 698.9879388260.

Adding to 341514420 its reverse (24415143), we get a palindrome (365929563).

The spelling of 341514420 in words is "three hundred forty-one million, five hundred fourteen thousand, four hundred twenty".