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63304080 = 243573769
BaseRepresentation
bin1111000101111…
…1000110010000
311102010011212120
43301133012100
5112201212310
610140454240
71366035000
oct361370620
9142104776
1063304080
1132808324
121924a380
1310165b48
14859c000
155856b70
hex3c5f190

63304080 has 160 divisors (see below), whose sum is σ = 229152000. Its totient is φ = 14450688.

The previous prime is 63304057. The next prime is 63304091. The reversal of 63304080 is 8040336.

63304080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 63304080.

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, 81936 + ... + 82704.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 263304080 is an apocalyptic number.

63304080 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 63304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576000).

63304080 is an abundant number, since it is smaller than the sum of its proper divisors (165847920).

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

63304080 is a wasteful number, since it uses less digits than its factorization.

63304080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 63304080 is about 7956.3861143109. The cubic root of 63304080 is about 398.5448796474.

The spelling of 63304080 in words is "sixty-three million, three hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 769 784 840 980 1029 1176 1372 1470 1538 1680 1715 1960 2058 2307 2352 2744 2940 3076 3430 3845 3920 4116 4614 5145 5383 5488 5880 6152 6860 7690 8232 9228 10290 10766 11535 11760 12304 13720 15380 16149 16464 18456 20580 21532 23070 26915 27440 30760 32298 36912 37681 41160 43064 46140 53830 61520 64596 75362 80745 82320 86128 92280 107660 113043 129192 150724 161490 184560 188405 215320 226086 258384 263767 301448 322980 376810 430640 452172 527534 565215 602896 645960 753620 791301 904344 1055068 1130430 1291920 1318835 1507240 1582602 1808688 2110136 2260860 2637670 3014480 3165204 3956505 4220272 4521720 5275340 6330408 7913010 9043440 10550680 12660816 15826020 21101360 31652040 63304080