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438740064 = 2534724181
BaseRepresentation
bin11010001001101…
…010010001100000
31010120120022020000
4122021222101200
51344304140224
6111311420000
713605141360
oct3211522140
91116508200
10438740064
112057259a4
12102b24600
136cb86809
14423aa9a0
15287b70c9
hex1a26a460

438740064 has 120 divisors (see below), whose sum is σ = 1474715088. Its totient is φ = 125349120.

The previous prime is 438740041. The next prime is 438740069. The reversal of 438740064 is 460047834.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438740069) 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 19 ways as a sum of consecutive naturals, for example, 6054 + ... + 30234.

Almost surely, 2438740064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737357544).

438740064 is an abundant number, since it is smaller than the sum of its proper divisors (1035975024).

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

438740064 is a wasteful number, since it uses less digits than its factorization.

438740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24210 (or 24193 counting only the distinct ones).

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

The square root of 438740064 is about 20946.1228870643. The cubic root of 438740064 is about 759.8638167809.

Adding to 438740064 its reverse (460047834), we get a palindrome (898787898).

The spelling of 438740064 in words is "four hundred thirty-eight million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 24181 48362 72543 96724 145086 169267 193448 217629 290172 338534 386896 435258 507801 580344 652887 677068 773792 870516 1015602 1160688 1305774 1354136 1523403 1741032 1958661 2031204 2321376 2611548 2708272 3046806 3482064 3917322 4062408 4570209 5223096 5416544 6093612 6964128 7834644 8124816 9140418 10446192 12187224 13710627 15669288 16249632 18280836 20892384 24374448 27421254 31338576 36561672 48748896 54842508 62677152 73123344 109685016 146246688 219370032 438740064