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164349486 = 2347373917
BaseRepresentation
bin10011100101111…
…00011000101110
3102110020211010000
421302330120232
5314033140421
624150325130
74033643010
oct1162743056
9373224100
10164349486
1184853224
12470597a6
1328084422
1417b821b0
15e666226
hex9cbc62e

164349486 has 80 divisors (see below), whose sum is σ = 432359136. Its totient is φ = 45676224.

The previous prime is 164349469. The next prime is 164349491. The reversal of 164349486 is 684943461.

164349486 is a `hidden beast` number, since 164 + 3 + 4 + 9 + 486 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40000 + ... + 43916.

Almost surely, 2164349486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164349486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216179568).

164349486 is an abundant number, since it is smaller than the sum of its proper divisors (268009650).

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

164349486 is a wasteful number, since it uses less digits than its factorization.

164349486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3966 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 164349486 is about 12819.8863489502. The cubic root of 164349486 is about 547.7589092574.

The spelling of 164349486 in words is "one hundred sixty-four million, three hundred forty-nine thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 666 777 999 1134 1554 1998 2331 2997 3917 4662 5994 6993 7834 11751 13986 20979 23502 27419 35253 41958 54838 70506 82257 105759 144929 164514 211518 246771 289858 317277 434787 493542 634554 740313 869574 1014503 1304361 1480626 2029006 2220939 2608722 3043509 3913083 4441878 6087018 7826166 9130527 11739249 18261054 23478498 27391581 54783162 82174743 164349486