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441140322 = 237233131459
BaseRepresentation
bin11010010010110…
…100010001100010
31010202002020202110
4122102310101202
51400412442242
6111435100150
713634426250
oct3222642142
91122066673
10441140322
11207015287
121038a1656
137051719c
14428335d0
1528add39c
hex1a4b4462

441140322 has 64 divisors (see below), whose sum is σ = 1056245760. Its totient is φ = 120092544.

The previous prime is 441140267. The next prime is 441140341. The reversal of 441140322 is 223041144.

It is a super-3 number, since 3×4411403223 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301629 + ... + 303087.

It is an arithmetic number, because the mean of its divisors is an integer number (16503840).

Almost surely, 2441140322 is an apocalyptic number.

441140322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 441140322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528122880).

441140322 is an abundant number, since it is smaller than the sum of its proper divisors (615105438).

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

441140322 is a wasteful number, since it uses less digits than its factorization.

441140322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441140322 is about 21003.3407342737. The cubic root of 441140322 is about 761.2469844925.

Adding to 441140322 its reverse (223041144), we get a palindrome (664181466).

The spelling of 441140322 in words is "four hundred forty-one million, one hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 313 322 483 626 939 966 1459 1878 2191 2918 4377 4382 6573 7199 8754 10213 13146 14398 20426 21597 30639 33557 43194 50393 61278 67114 100671 100786 151179 201342 234899 302358 456667 469798 704697 913334 1370001 1409394 2740002 3196669 6393338 9590007 10503341 19180014 21006682 31510023 63020046 73523387 147046774 220570161 441140322