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441140304 = 243112713083
BaseRepresentation
bin11010010010110…
…100010001010000
31010202002020201210
4122102310101100
51400412442204
6111435100120
713634426223
oct3222642120
91122066653
10441140304
11207015270
121038a1640
1370517187
14428335ba
1528add389
hex1a4b4450

441140304 has 80 divisors (see below), whose sum is σ = 1248205824. Its totient is φ = 133142400.

The previous prime is 441140267. The next prime is 441140341. The reversal of 441140304 is 403041144.

It is an interprime number because it is at equal distance from previous prime (441140267) and next prime (441140341).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141547 + ... + 144629.

Almost surely, 2441140304 is an apocalyptic number.

441140304 is a gapful number since it is divisible by the number (44) 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 441140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624102912).

441140304 is an abundant number, since it is smaller than the sum of its proper divisors (807065520).

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

441140304 is a wasteful number, since it uses less digits than its factorization.

441140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3370 counting only the distinct ones).

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

The square root of 441140304 is about 21003.3403057704. The cubic root of 441140304 is about 761.2469741387.

Adding to 441140304 its reverse (403041144), we get a palindrome (844181448).

The spelling of 441140304 in words is "four hundred forty-one million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1084 1626 2168 2981 3083 3252 4336 5962 6166 6504 8943 9249 11924 12332 13008 17886 18498 23848 24664 33913 35772 36996 47696 49328 67826 71544 73992 101739 135652 143088 147984 203478 271304 406956 542608 813912 835493 1627824 1670986 2506479 3341972 5012958 6683944 9190423 10025916 13367888 18380846 20051832 27571269 36761692 40103664 55142538 73523384 110285076 147046768 220570152 441140304