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164663334 = 2331132979
BaseRepresentation
bin10011101000010…
…01000000100110
3102110211202122000
421310021000212
5314123211314
624201150130
74036421013
oct1164110046
9373752560
10164663334
1184a48000
124718b346
1328164234
1417c2470a
15e6c9209
hex9d09026

164663334 has 128 divisors (see below), whose sum is σ = 421632000. Its totient is φ = 47567520.

The previous prime is 164663321. The next prime is 164663341. The reversal of 164663334 is 433366461.

164663334 is a `hidden beast` number, since 1 + 646 + 6 + 3 + 3 + 3 + 4 = 666.

164663334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1646633342 = 54228027127991112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2084307 + ... + 2084385.

It is an arithmetic number, because the mean of its divisors is an integer number (3294000).

Almost surely, 2164663334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164663334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210816000).

164663334 is an abundant number, since it is smaller than the sum of its proper divisors (256968666).

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

164663334 is a wasteful number, since it uses less digits than its factorization.

164663334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 164663334 is about 12832.1211808493. The cubic root of 164663334 is about 548.1073612620.

It can be divided in two parts, 1646 and 63334, that added together give a triangular number (64980 = T360).

The spelling of 164663334 in words is "one hundred sixty-four million, six hundred sixty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 79 87 99 121 158 174 198 237 242 261 297 319 363 474 522 594 638 711 726 783 869 957 1089 1331 1422 1566 1738 1914 2133 2178 2291 2607 2662 2871 3267 3509 3993 4266 4582 5214 5742 6534 6873 7018 7821 7986 8613 9559 10527 11979 13746 15642 17226 19118 20619 21054 23463 23958 25201 28677 31581 35937 38599 41238 46926 50402 57354 61857 63162 71874 75603 77198 86031 94743 105149 115797 123714 151206 172062 189486 210298 226809 231594 258093 277211 315447 347391 453618 516186 554422 630894 680427 694782 831633 946341 1042173 1360854 1663266 1892682 2084346 2494899 2839023 3049321 4989798 5678046 6098642 7484697 9147963 14969394 18295926 27443889 54887778 82331667 164663334