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164330429 = 1932413533
BaseRepresentation
bin10011100101101…
…11101110111101
3102110012211222012
421302313232331
5314032033204
624150101005
74033533314
oct1162675675
9373184865
10164330429
118483a97a
124704a765
1328078853
1417b7927b
15e66076e
hex9cb7bbd

164330429 has 8 divisors (see below), whose sum is σ = 165914232. Its totient is φ = 162754560.

The previous prime is 164330389. The next prime is 164330437. The reversal of 164330429 is 924033461.

It can be written as a sum of positive squares in 4 ways, for example, as 46607929 + 117722500 = 6827^2 + 10850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164330429 - 224 = 147553213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164330395 and 164330404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164330329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44747 + ... + 48279.

It is an arithmetic number, because the mean of its divisors is an integer number (20739279).

Almost surely, 2164330429 is an apocalyptic number.

It is an amenable number.

164330429 is a deficient number, since it is larger than the sum of its proper divisors (1583803).

164330429 is a wasteful number, since it uses less digits than its factorization.

164330429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967.

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 164330429 is about 12819.1430680838. The cubic root of 164330429 is about 547.7377368050.

The spelling of 164330429 in words is "one hundred sixty-four million, three hundred thirty thousand, four hundred twenty-nine".

Divisors: 1 193 241 3533 46513 681869 851453 164330429