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341627328 = 2633761463
BaseRepresentation
bin10100010111001…
…101000111000000
3212210211110121000
4110113031013000
51144424033303
653522132000
711315533020
oct2427150700
9783743530
10341627328
11165926739
12964b1000
1355a14263
143352ba80
151eed2da3
hex145cd1c0

341627328 has 224 divisors, whose sum is σ = 1169131520. Its totient is φ = 95800320.

The previous prime is 341627311. The next prime is 341627329. The reversal of 341627328 is 823726143.

It is a happy number.

341627328 is a `hidden beast` number, since 3 + 4 + 1 + 627 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 a junction number, because it is equal to n+sod(n) for n = 341627292 and 341627301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341627329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737625 + ... + 738087.

Almost surely, 2341627328 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 341627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584565760).

341627328 is an abundant number, since it is smaller than the sum of its proper divisors (827504192).

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

341627328 is a wasteful number, since it uses less digits than its factorization.

341627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 341627328 is about 18483.1633656147. The cubic root of 341627328 is about 699.0649610831.

The spelling of 341627328 in words is "three hundred forty-one million, six hundred twenty-seven thousand, three hundred twenty-eight".