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164453436 = 22337191072
BaseRepresentation
bin10011100110101…
…01110000111100
3102110110002201000
421303111300330
5314100002221
624152450300
74034555040
oct1163256074
9373402630
10164453436
1184914334
12470a9990
13280bc834
1417bac020
15e686e26
hex9cd5c3c

164453436 has 144 divisors (see below), whose sum is σ = 517753600. Its totient is φ = 44097696.

The previous prime is 164453413. The next prime is 164453437. The reversal of 164453436 is 634354461.

164453436 is a `hidden beast` number, since 1 + 644 + 5 + 3 + 4 + 3 + 6 = 666.

It is a super-2 number, since 2×1644534362 = 54089865224412192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164453436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164453437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536895 + ... + 1537001.

Almost surely, 2164453436 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 164453436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258876800).

164453436 is an abundant number, since it is smaller than the sum of its proper divisors (353300164).

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

164453436 is a wasteful number, since it uses less digits than its factorization.

164453436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 138 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 164453436 is about 12823.9399561913. The cubic root of 164453436 is about 547.8743695885.

It can be divided in two parts, 16445 and 3436, that added together give a square (19881 = 1412).

The spelling of 164453436 in words is "one hundred sixty-four million, four hundred fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 107 108 114 126 133 171 189 214 228 252 266 321 342 378 399 428 513 532 642 684 749 756 798 963 1026 1197 1284 1498 1596 1926 2033 2052 2247 2394 2889 2996 3591 3852 4066 4494 4788 5778 6099 6741 7182 8132 8988 11449 11556 12198 13482 14231 14364 18297 20223 22898 24396 26964 28462 34347 36594 40446 42693 45796 54891 56924 68694 73188 80143 80892 85386 103041 109782 128079 137388 160286 170772 206082 217531 219564 240429 256158 309123 320572 384237 412164 435062 480858 512316 618246 652593 721287 768474 870124 961716 1236492 1305186 1442574 1522717 1536948 1957779 2163861 2610372 2885148 3045434 3915558 4327722 4568151 5873337 6090868 7831116 8655444 9136302 11746674 13704453 18272604 23493348 27408906 41113359 54817812 82226718 164453436