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4338000632 = 2379728233
BaseRepresentation
bin1000000101001000…
…01010001011111000
3102012022201021011002
410002210022023320
532341012010012
61554242224132
7212333253110
oct40244121370
912168637132
104338000632
111926763099
12a10955048
13541965ca4
142d21ba040
151a5c8d7c2
hex10290a2f8

4338000632 has 48 divisors (see below), whose sum is σ = 9393676560. Its totient is φ = 1839753216.

The previous prime is 4338000617. The next prime is 4338000643. The reversal of 4338000632 is 2360008334.

It is a junction number, because it is equal to n+sod(n) for n = 4338000595 and 4338000604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522788 + ... + 531020.

It is an arithmetic number, because the mean of its divisors is an integer number (195701595).

Almost surely, 24338000632 is an apocalyptic number.

It is a pronic number, being equal to 65863×65864.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338000632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696838280).

4338000632 is an abundant number, since it is smaller than the sum of its proper divisors (5055675928).

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

4338000632 is an equidigital number, since it uses as much as digits as its factorization.

4338000632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 4338000632 is about 65863.4999981021. The cubic root of 4338000632 is about 1630.9095294047.

Adding to 4338000632 its reverse (2360008334), we get a palindrome (6698008966).

The spelling of 4338000632 in words is "four billion, three hundred thirty-eight million, six hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 5432 8233 9409 16466 18818 32932 37636 57631 65863 65864 75272 115262 131726 230524 263452 461048 526904 798601 1597202 3194404 5590207 6388808 11180414 22360828 44721656 77464297 154928594 309857188 542250079 619714376 1084500158 2169000316 4338000632