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441324020 = 225196179241
BaseRepresentation
bin11010010011100…
…001000111110100
31010202102120202002
4122103201013310
51400434332040
6111443034432
713636122644
oct3223410764
91122376662
10441324020
112071302a5
1210396ba18
137057c997
1442880524
1528b27a15
hex1a4e11f4

441324020 has 96 divisors (see below), whose sum is σ = 1008268800. Its totient is φ = 161740800.

The previous prime is 441323999. The next prime is 441324061. The reversal of 441324020 is 20423144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 441323983 and 441324001.

It is a congruent number.

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, 1831100 + ... + 1831340.

It is an arithmetic number, because the mean of its divisors is an integer number (10502800).

Almost surely, 2441324020 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 441324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504134400).

441324020 is an abundant number, since it is smaller than the sum of its proper divisors (566944780).

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

441324020 is a wasteful number, since it uses less digits than its factorization.

441324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 441324020 is about 21007.7133453406. The cubic root of 441324020 is about 761.3526350347.

Adding to 441324020 its reverse (20423144), we get a palindrome (461747164).

The spelling of 441324020 in words is "four hundred forty-one million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 61 76 79 95 122 158 190 241 244 305 316 380 395 482 610 790 964 1159 1205 1220 1501 1580 2318 2410 3002 4579 4636 4819 4820 5795 6004 7505 9158 9638 11590 14701 15010 18316 19039 19276 22895 23180 24095 29402 30020 38078 45790 48190 58804 73505 76156 91561 91580 95195 96380 147010 183122 190390 279319 294020 361741 366244 380780 457805 558638 723482 915610 1117276 1161379 1396595 1446964 1808705 1831220 2322758 2793190 3617410 4645516 5586380 5806895 7234820 11613790 22066201 23227580 44132402 88264804 110331005 220662010 441324020