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429960961 = 1932227777
BaseRepresentation
bin11001101000001…
…010111100000001
31002222001021120001
4121220022330001
51340032222321
6110355320001
713440415333
oct3150127401
91088037501
10429960961
1120077a041
12bbbb0001
136b101891
1441163453
1527b30c91
hex19a0af01

429960961 has 4 divisors (see below), whose sum is σ = 432188932. Its totient is φ = 427732992.

The previous prime is 429960943. The next prime is 429960967. The reversal of 429960961 is 169069924.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 101626561 + 328334400 = 10081^2 + 18120^2 .

It is a cyclic number.

It is not a de Polignac number, because 429960961 - 25 = 429960929 is a prime.

It is the 20736-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429960967) by changing a digit.

It is a nontrivial repunit in base 20735.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1113696 + ... + 1114081.

It is an arithmetic number, because the mean of its divisors is an integer number (108047233).

Almost surely, 2429960961 is an apocalyptic number.

It is an amenable number.

429960961 is a deficient number, since it is larger than the sum of its proper divisors (2227971).

429960961 is a wasteful number, since it uses less digits than its factorization.

429960961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227970.

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 429960961 is about 20735.5000180849. The cubic root of 429960961 is about 754.7613888602.

The spelling of 429960961 in words is "four hundred twenty-nine million, nine hundred sixty thousand, nine hundred sixty-one".

Divisors: 1 193 2227777 429960961