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196164342 = 23411315367
BaseRepresentation
bin10111011000100…
…11101011110110
3111200010011220000
423230103223312
5400204224332
631244252130
74601240463
oct1354235366
9450104800
10196164342
11a08031a0
1255841046
133184349a
141c0a466a
151234cb7c
hexbb13af6

196164342 has 160 divisors (see below), whose sum is σ = 511847424. Its totient is φ = 55598400.

The previous prime is 196164337. The next prime is 196164431. The reversal of 196164342 is 243461691.

196164342 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 643 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 196164297 and 196164306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2927793 + ... + 2927859.

Almost surely, 2196164342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196164342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255923712).

196164342 is an abundant number, since it is smaller than the sum of its proper divisors (315683082).

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

196164342 is a wasteful number, since it uses less digits than its factorization.

196164342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 196164342 is about 14005.8681273243. The cubic root of 196164342 is about 581.0408796110.

The spelling of 196164342 in words is "one hundred ninety-six million, one hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 53 54 62 66 67 81 93 99 106 134 159 162 186 198 201 279 297 318 341 402 477 558 583 594 603 682 737 837 891 954 1023 1166 1206 1431 1474 1643 1674 1749 1782 1809 2046 2077 2211 2511 2862 3069 3286 3498 3551 3618 4154 4293 4422 4929 5022 5247 5427 6138 6231 6633 7102 8586 9207 9858 10494 10653 10854 12462 13266 14787 15741 18073 18414 18693 19899 21306 22847 27621 29574 31482 31959 36146 37386 39061 39798 44361 45694 47223 54219 55242 56079 59697 63918 68541 78122 88722 94446 95877 108438 110081 112158 117183 119394 133083 137082 162657 168237 191754 205623 220162 234366 266166 287631 325314 330243 336474 351549 411246 487971 575262 616869 660486 703098 975942 990729 1054647 1210891 1233738 1463913 1850607 1981458 2109294 2421782 2927826 2972187 3163941 3632673 3701214 5944374 6327882 7265346 8916561 10898019 17833122 21796038 32694057 65388114 98082171 196164342