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164343000 = 23353291889
BaseRepresentation
bin10011100101110…
…10110011011000
3102110020111012210
421302322303120
5314032434000
624150235120
74033615053
oct1162726330
9373214183
10164343000
1184849368
1247055aa0
13280814a3
1417b7da9a
15e664350
hex9cbacd8

164343000 has 128 divisors (see below), whose sum is σ = 530712000. Its totient is φ = 42291200.

The previous prime is 164342999. The next prime is 164343001. The reversal of 164343000 is 343461.

It is an interprime number because it is at equal distance from previous prime (164342999) and next prime (164343001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164343001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86056 + ... + 87944.

Almost surely, 2164343000 is an apocalyptic number.

164343000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356000).

164343000 is an abundant number, since it is smaller than the sum of its proper divisors (366369000).

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

164343000 is a wasteful number, since it uses less digits than its factorization.

164343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 164343000 is about 12819.6333800932. The cubic root of 164343000 is about 547.7517034525.

Adding to 164343000 its reverse (343461), we get a palindrome (164686461).

The spelling of 164343000 in words is "one hundred sixty-four million, three hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 1889 2175 2900 3000 3480 3625 3778 4350 5667 5800 7250 7556 8700 9445 10875 11334 14500 15112 17400 18890 21750 22668 28335 29000 37780 43500 45336 47225 54781 56670 75560 87000 94450 109562 113340 141675 164343 188900 219124 226680 236125 273905 283350 328686 377800 438248 472250 547810 566700 657372 708375 821715 944500 1095620 1133400 1314744 1369525 1416750 1643430 1889000 2191240 2739050 2833500 3286860 4108575 5478100 5667000 6573720 6847625 8217150 10956200 13695250 16434300 20542875 27390500 32868600 41085750 54781000 82171500 164343000