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623443680 = 25325563769
BaseRepresentation
bin100101001010001…
…111111011100000
31121110010012221200
4211022033323200
52234100144210
6141510321200
721310120026
oct4512177340
91543105850
10623443680
1129aa10512
12154959200
139c2165b2
145cb2a716
1539aee0c0
hex2528fee0

623443680 has 144 divisors (see below), whose sum is σ = 2134051920. Its totient is φ = 165740544.

The previous prime is 623443679. The next prime is 623443693. The reversal of 623443680 is 86344326.

It is a happy number.

623443680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×6234436803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810336 + ... + 811104.

It is an arithmetic number, because the mean of its divisors is an integer number (14819805).

Almost surely, 2623443680 is an apocalyptic number.

623443680 is a gapful number since it is divisible by the number (60) 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 623443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067025960).

623443680 is an abundant number, since it is smaller than the sum of its proper divisors (1510608240).

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

623443680 is a wasteful number, since it uses less digits than its factorization.

623443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 623443680 is about 24968.8541987813. The cubic root of 623443680 is about 854.2777115305.

The spelling of 623443680 in words is "six hundred twenty-three million, four hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 563 720 769 1126 1440 1538 1689 2252 2307 2815 3076 3378 3845 4504 4614 5067 5630 6152 6756 6921 7690 8445 9008 9228 10134 11260 11535 12304 13512 13842 15380 16890 18016 18456 20268 22520 23070 24608 25335 27024 27684 30760 33780 34605 36912 40536 45040 46140 50670 54048 55368 61520 67560 69210 73824 81072 90080 92280 101340 110736 123040 135120 138420 162144 184560 202680 221472 270240 276840 369120 405360 432947 553680 810720 865894 1107360 1298841 1731788 2164735 2597682 3463576 3896523 4329470 5195364 6494205 6927152 7793046 8658940 10390728 12988410 13854304 15586092 17317880 19482615 20781456 25976820 31172184 34635760 38965230 41562912 51953640 62344368 69271520 77930460 103907280 124688736 155860920 207814560 311721840 623443680