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663478320 = 243547131449
BaseRepresentation
bin100111100010111…
…110000000110000
31201020110012011010
4213202332000300
52324322301240
6145500350520
722304321061
oct4742760060
91636405133
10663478320
1131057509a
12166245440
13a75c2b2b
146418c568
153d3ab280
hex278be030

663478320 has 160 divisors (see below), whose sum is σ = 2121292800. Its totient is φ = 171458560.

The previous prime is 663478267. The next prime is 663478331. The reversal of 663478320 is 23874366.

It is a super-2 number, since 2×6634783202 = 880406962220044800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477456 + ... + 1477904.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 2663478320 is an apocalyptic number.

663478320 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 663478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060646400).

663478320 is an abundant number, since it is smaller than the sum of its proper divisors (1457814480).

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

663478320 is a wasteful number, since it uses less digits than its factorization.

663478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 663478320 is about 25758.0729092842. The cubic root of 663478320 is about 872.1856000298.

The spelling of 663478320 in words is "six hundred sixty-three million, four hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 131 141 188 235 240 262 282 376 393 449 470 524 564 655 705 752 786 898 940 1048 1128 1310 1347 1410 1572 1796 1880 1965 2096 2245 2256 2620 2694 2820 3144 3592 3760 3930 4490 5240 5388 5640 6157 6288 6735 7184 7860 8980 10480 10776 11280 12314 13470 15720 17960 18471 21103 21552 24628 26940 30785 31440 35920 36942 42206 49256 53880 58819 61570 63309 73884 84412 92355 98512 105515 107760 117638 123140 126618 147768 168824 176457 184710 211030 235276 246280 253236 294095 295536 316545 337648 352914 369420 422060 470552 492560 506472 588190 633090 705828 738840 844120 882285 941104 1012944 1176380 1266180 1411656 1477680 1688240 1764570 2352760 2532360 2764493 2823312 3529140 4705520 5064720 5528986 7058280 8293479 11057972 13822465 14116560 16586958 22115944 27644930 33173916 41467395 44231888 55289860 66347832 82934790 110579720 132695664 165869580 221159440 331739160 663478320