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440675040 = 25351370621
BaseRepresentation
bin11010010001000…
…010101011100000
31010201012121111210
4122101002223200
51400303100130
6111421110120
713630450611
oct3221025340
91121177453
10440675040
11206827753
121036b8340
13703b3480
1442751c08
1528a4a5b0
hex1a442ae0

440675040 has 96 divisors (see below), whose sum is σ = 1494926496. Its totient is φ = 108472320.

The previous prime is 440675033. The next prime is 440675047. The reversal of 440675040 is 40576044.

It is an interprime number because it is at equal distance from previous prime (440675033) and next prime (440675047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 440674989 and 440675007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440675047) by changing a digit.

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, 29071 + ... + 41550.

It is an arithmetic number, because the mean of its divisors is an integer number (15572151).

Almost surely, 2440675040 is an apocalyptic number.

440675040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440675040 is an abundant number, since it is smaller than the sum of its proper divisors (1054251456).

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

440675040 is a wasteful number, since it uses less digits than its factorization.

440675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70652 (or 70644 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 440675040 is about 20992.2614312989. The cubic root of 440675040 is about 760.9792547772.

The spelling of 440675040 in words is "four hundred forty million, six hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 70621 141242 211863 282484 353105 423726 564968 706210 847452 918073 1059315 1129936 1412420 1694904 1836146 2118630 2259872 2754219 2824840 3389808 3672292 4237260 4590365 5508438 5649680 6779616 7344584 8474520 9180730 11016876 11299360 13771095 14689168 16949040 18361460 22033752 27542190 29378336 33898080 36722920 44067504 55084380 73445840 88135008 110168760 146891680 220337520 440675040