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440012304 = 24337912893
BaseRepresentation
bin11010001110100…
…000111000010000
31010122221221102000
4122032200320100
51400120343204
6111354554000
713622020464
oct3216407020
91118857360
10440012304
11206414836
12103438900
1370210914
144261c4a4
1528969039
hex1a3a0e10

440012304 has 80 divisors (see below), whose sum is σ = 1279084800. Its totient is φ = 144802944.

The previous prime is 440012297. The next prime is 440012327. The reversal of 440012304 is 403210044.

It is a super-2 number, since 2×4400123042 = 387221655342776832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 27682 + ... + 40574.

It is an arithmetic number, because the mean of its divisors is an integer number (15988560).

Almost surely, 2440012304 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 440012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639542400).

440012304 is an abundant number, since it is smaller than the sum of its proper divisors (839072496).

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

440012304 is a wasteful number, since it uses less digits than its factorization.

440012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440012304 is about 20976.4702464452. The cubic root of 440012304 is about 760.5975817115.

Adding to 440012304 its reverse (403210044), we get a palindrome (843222348).

The spelling of 440012304 in words is "four hundred forty million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3792 4266 5688 8532 11376 12893 17064 25786 34128 38679 51572 77358 103144 116037 154716 206288 232074 309432 348111 464148 618864 696222 928296 1018547 1392444 1856592 2037094 2784888 3055641 4074188 5569776 6111282 8148376 9166923 12222564 16296752 18333846 24445128 27500769 36667692 48890256 55001538 73335384 110003076 146670768 220006152 440012304