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441114032 = 241911312841
BaseRepresentation
bin11010010010101…
…101110110110000
31010202000220200202
4122102231312300
51400411122112
6111434334332
713634256512
oct3222556660
91122026622
10441114032
11206aa7557
1210388a3a8
1370508228
1442827bb2
1528ad56c2
hex1a4addb0

441114032 has 40 divisors (see below), whose sum is σ = 907672560. Its totient is φ = 207083520.

The previous prime is 441114019. The next prime is 441114049. The reversal of 441114032 is 230411144.

It is a junction number, because it is equal to n+sod(n) for n = 441113995 and 441114013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27932 + ... + 40772.

It is an arithmetic number, because the mean of its divisors is an integer number (22691814).

Almost surely, 2441114032 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 441114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453836280).

441114032 is an abundant number, since it is smaller than the sum of its proper divisors (466558528).

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

441114032 is a wasteful number, since it uses less digits than its factorization.

441114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12981 (or 12975 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 441114032 is about 21002.7148721302. The cubic root of 441114032 is about 761.2318618813.

Adding to 441114032 its reverse (230411144), we get a palindrome (671525176).

The spelling of 441114032 in words is "four hundred forty-one million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 904 1808 2147 4294 8588 12841 17176 25682 34352 51364 102728 205456 243979 487958 975916 1451033 1951832 2902066 3903664 5804132 11608264 23216528 27569627 55139254 110278508 220557016 441114032