Search a number
-
+
429942337 = 11431914759
BaseRepresentation
bin11001101000000…
…110011001000001
31002222000100000021
4121220012121001
51340031123322
6110355053441
713440310126
oct3150063101
91088010007
10429942337
11200767050
12bbba1281
136b0c6266
144115a74d
1527b2a4c7
hex19a06641

429942337 has 16 divisors (see below), whose sum is σ = 482549760. Its totient is φ = 379688400.

The previous prime is 429942319. The next prime is 429942361. The reversal of 429942337 is 733249924.

It is a cyclic number.

It is not a de Polignac number, because 429942337 - 27 = 429942209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 429942293 and 429942302.

It is not an unprimeable number, because it can be changed into a prime (429942397) 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, 87964 + ... + 92722.

It is an arithmetic number, because the mean of its divisors is an integer number (30159360).

Almost surely, 2429942337 is an apocalyptic number.

It is an amenable number.

429942337 is a deficient number, since it is larger than the sum of its proper divisors (52607423).

429942337 is a wasteful number, since it uses less digits than its factorization.

429942337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004.

The product of its digits is 326592, while the sum is 43.

The square root of 429942337 is about 20735.0509283194. The cubic root of 429942337 is about 754.7504910654.

The spelling of 429942337 in words is "four hundred twenty-nine million, nine hundred forty-two thousand, three hundred thirty-seven".

Divisors: 1 11 43 191 473 2101 4759 8213 52349 90343 204637 908969 2251007 9998659 39085667 429942337