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341231616 = 2113411217
BaseRepresentation
bin10100010101101…
…100100000000000
3212210002100210000
4110111230200000
51144323402431
653505440000
711312264235
oct2425544000
9783070700
10341231616
11165686400
1296340000
13559060cb
143346778c
151ee559e6
hex1456c800

341231616 has 360 divisors, whose sum is σ = 1186215030. Its totient is φ = 97320960.

The previous prime is 341231593. The next prime is 341231629. The reversal of 341231616 is 616132143.

341231616 is a `hidden beast` number, since 3 + 4 + 12 + 31 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 90326016 = 15840^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 341231616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20072440 + ... + 20072456.

Almost surely, 2341231616 is an apocalyptic number.

341231616 is a gapful number since it is divisible by the number (36) 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 341231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593107515).

341231616 is an abundant number, since it is smaller than the sum of its proper divisors (844983414).

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

341231616 is a wasteful number, since it uses less digits than its factorization.

341231616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 341231616 is about 18472.4556028699. The cubic root of 341231616 is about 698.7949443645.

Adding to 341231616 its reverse (616132143), we get a palindrome (957363759).

The spelling of 341231616 in words is "three hundred forty-one million, two hundred thirty-one thousand, six hundred sixteen".