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3830232000 = 26353723257
BaseRepresentation
bin1110010001001100…
…1011001111000000
3100212221020221112110
43210103023033000
530321014411000
61432023055320
7163626302100
oct34423131700
910787227473
103830232000
11169607aaa1
128aa8a1540
134906c0b8a
142849a1200
151763dd850
hexe44cb3c0

3830232000 has 336 divisors, whose sum is σ = 14716829088. Its totient is φ = 875212800.

The previous prime is 3830231969. The next prime is 3830232023. The reversal of 3830232000 is 2320383.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174372 + ... + 1177628.

Almost surely, 23830232000 is an apocalyptic number.

3830232000 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 3830232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358414544).

3830232000 is an abundant number, since it is smaller than the sum of its proper divisors (10886597088).

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

3830232000 is a wasteful number, since it uses less digits than its factorization.

3830232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3830232000 is about 61888.8681428252. The cubic root of 3830232000 is about 1564.6181364080.

Adding to 3830232000 its reverse (2320383), we get a palindrome (3832552383).

The spelling of 3830232000 in words is "three billion, eight hundred thirty million, two hundred thirty-two thousand".