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440866840 = 23537893347
BaseRepresentation
bin11010010001110…
…001100000011000
31010201120100121111
4122101301200120
51400330214330
6111425150104
713632210031
oct3221614030
91121510544
10440866840
11206948867
1210378b334
137044c86b
14427a1a88
1528a8732a
hex1a471818

440866840 has 64 divisors (see below), whose sum is σ = 1030514400. Its totient is φ = 169602048.

The previous prime is 440866837. The next prime is 440866859. The reversal of 440866840 is 48668044.

It is a super-2 number, since 2×4408668402 = 388727141223171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 440866793 and 440866802.

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, 130047 + ... + 133393.

Almost surely, 2440866840 is an apocalyptic number.

440866840 is a gapful number since it is divisible by the number (40) 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 440866840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515257200).

440866840 is an abundant number, since it is smaller than the sum of its proper divisors (589647560).

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

440866840 is a wasteful number, since it uses less digits than its factorization.

440866840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 440866840 is about 20996.8292844420. The cubic root of 440866840 is about 761.0896419768.

The spelling of 440866840 in words is "four hundred forty million, eight hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 89 148 178 185 296 356 370 445 712 740 890 1480 1780 3293 3347 3560 6586 6694 13172 13388 16465 16735 26344 26776 32930 33470 65860 66940 123839 131720 133880 247678 297883 495356 595766 619195 990712 1191532 1238390 1489415 2383064 2476780 2978830 4953560 5957660 11021671 11915320 22043342 44086684 55108355 88173368 110216710 220433420 440866840