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673440480 = 2535517321
BaseRepresentation
bin101000001000111…
…110001011100000
31201221012022200000
4220020332023200
52334400043410
6150454100000
722455102216
oct5010761340
91657168600
10673440480
11316159889
1216964a600
13a96a03bb
1465622cb6
153e1c7dc0
hex2823e2e0

673440480 has 144 divisors (see below), whose sum is σ = 2383368624. Its totient is φ = 179573760.

The previous prime is 673440473. The next prime is 673440491. The reversal of 673440480 is 84044376.

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

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, 30220 + ... + 47540.

It is an arithmetic number, because the mean of its divisors is an integer number (16551171).

Almost surely, 2673440480 is an apocalyptic number.

673440480 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 673440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191684312).

673440480 is an abundant number, since it is smaller than the sum of its proper divisors (1709928144).

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

673440480 is a wasteful number, since it uses less digits than its factorization.

673440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17351 (or 17331 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 673440480 is about 25950.7317815895. The cubic root of 673440480 is about 876.5292354616.

The spelling of 673440480 in words is "six hundred seventy-three million, four hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 17321 19440 34642 38880 51963 69284 86605 103926 138568 155889 173210 207852 259815 277136 311778 346420 415704 467667 519630 554272 623556 692840 779445 831408 935334 1039260 1247112 1385680 1403001 1558890 1662816 1870668 2078520 2338335 2494224 2771360 2806002 3117780 3741336 4157040 4209003 4676670 4988448 5612004 6235560 7015005 7482672 8314080 8418006 9353340 11224008 12471120 14030010 14965344 16836012 18706680 21045015 22448016 24942240 28060020 33672024 37413360 42090030 44896032 56120040 67344048 74826720 84180060 112240080 134688096 168360120 224480160 336720240 673440480