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164430343 = 7115633793
BaseRepresentation
bin10011100110100…
…00001000000111
3102110101221000201
421303100020013
5314043232333
624152151331
74034430520
oct1163201007
9373357021
10164430343
11848a8a50
1247098547
13280b217c
1417ba3847
15e68017d
hex9cd0207

164430343 has 16 divisors (see below), whose sum is σ = 205422336. Its totient is φ = 127866240.

The previous prime is 164430337. The next prime is 164430349. The reversal of 164430343 is 343034461.

It is an interprime number because it is at equal distance from previous prime (164430337) and next prime (164430349).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164430343 is a prime.

It is a super-3 number, since 3×1644303433 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164430349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41455 + ... + 45247.

It is an arithmetic number, because the mean of its divisors is an integer number (12838896).

Almost surely, 2164430343 is an apocalyptic number.

164430343 is a deficient number, since it is larger than the sum of its proper divisors (40991993).

164430343 is a wasteful number, since it uses less digits than its factorization.

164430343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374.

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 164430343 is about 12823.0395382686. The cubic root of 164430343 is about 547.8487237170.

The spelling of 164430343 in words is "one hundred sixty-four million, four hundred thirty thousand, three hundred forty-three".

Divisors: 1 7 11 77 563 3793 3941 6193 26551 41723 43351 292061 2135459 14948213 23490049 164430343