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341418672 = 2433721272
BaseRepresentation
bin10100010110011…
…010001010110000
3212210102212101000
4110112122022300
51144400344142
653513442000
711314003500
oct2426321260
9783385330
10341418672
111657a39a1
1296410300
13559702aa
14334b5a00
151ee9114c
hex1459a2b0

341418672 has 180 divisors, whose sum is σ = 1149044760. Its totient is φ = 96780096.

The previous prime is 341418643. The next prime is 341418677. The reversal of 341418672 is 276814143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

341418672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (341418677) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2688273 + ... + 2688399.

It is an arithmetic number, because the mean of its divisors is an integer number (6383582).

Almost surely, 2341418672 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 341418672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574522380).

341418672 is an abundant number, since it is smaller than the sum of its proper divisors (807626088).

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

341418672 is a wasteful number, since it uses less digits than its factorization.

341418672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 139 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 341418672 is about 18477.5180151448. The cubic root of 341418672 is about 698.9226092734.

The spelling of 341418672 in words is "three hundred forty-one million, four hundred eighteen thousand, six hundred seventy-two".