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444532340 = 22575775503
BaseRepresentation
bin11010011111110…
…000011001110100
31010222110120201202
4122133300121310
51402300013330
6112035512032
714005314440
oct3237603164
91128416652
10444532340
11208a217aa
12104a58618
13711340b5
1443077820
152905d445
hex1a7f0674

444532340 has 48 divisors (see below), whose sum is σ = 1068920832. Its totient is φ = 152119296.

The previous prime is 444532267. The next prime is 444532351. The reversal of 444532340 is 43235444.

It is a super-4 number, since 4×4445323404 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78029 + ... + 83531.

It is an arithmetic number, because the mean of its divisors is an integer number (22269184).

Almost surely, 2444532340 is an apocalyptic number.

It is an amenable number.

444532340 is an abundant number, since it is smaller than the sum of its proper divisors (624388492).

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

444532340 is a wasteful number, since it uses less digits than its factorization.

444532340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 444532340 is about 21083.9355908711. The cubic root of 444532340 is about 763.1931327000.

Adding to 444532340 its reverse (43235444), we get a palindrome (487767784).

The spelling of 444532340 in words is "four hundred forty-four million, five hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 577 1154 2308 2885 4039 5503 5770 8078 11006 11540 16156 20195 22012 27515 38521 40390 55030 77042 80780 110060 154084 192605 385210 770420 3175231 6350462 12700924 15876155 22226617 31752310 44453234 63504620 88906468 111133085 222266170 444532340