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168334464 = 2733179179
BaseRepresentation
bin10100000100010…
…01010010000000
3102201202021110210
422002021102000
5321043200324
624411554120
74112551014
oct1202112200
9381667423
10168334464
11870251a1
124845b940
1328b4b1bc
14184dc544
15eba1d29
hexa089480

168334464 has 128 divisors (see below), whose sum is σ = 470016000. Its totient is φ = 53314560.

The previous prime is 168334451. The next prime is 168334469. The reversal of 168334464 is 464433861.

It is a happy number.

168334464 is digitally balanced in base 3, 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 (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (168334469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940327 + ... + 940505.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 2168334464 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 168334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

168334464 is an abundant number, since it is smaller than the sum of its proper divisors (301681536).

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

168334464 is a wasteful number, since it uses less digits than its factorization.

168334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 168334464 is about 12974.3772104868. The cubic root of 168334464 is about 552.1507674709.

The spelling of 168334464 in words is "one hundred sixty-eight million, three hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 158 179 186 192 237 248 316 358 372 384 474 496 537 632 716 744 948 992 1074 1264 1432 1488 1896 1984 2148 2449 2528 2864 2976 3792 3968 4296 4898 5056 5549 5728 5952 7347 7584 8592 9796 10112 11098 11456 11904 14141 14694 15168 16647 17184 19592 22196 22912 28282 29388 30336 33294 34368 39184 42423 44392 56564 58776 66588 68736 78368 84846 88784 113128 117552 133176 156736 169692 177568 226256 235104 266352 313472 339384 355136 438371 452512 470208 532704 678768 710272 876742 905024 940416 1065408 1315113 1357536 1753484 1810048 2130816 2630226 2715072 3506968 5260452 5430144 7013936 10520904 14027872 21041808 28055744 42083616 56111488 84167232 168334464