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429361061 = 17374116649
BaseRepresentation
bin11001100101111…
…000011110100101
31002220220210122112
4121211320132211
51334404023221
6110334410405
713432336343
oct3145703645
91086823575
10429361061
112003aa358
12bb960a05
136ac517cc
1441048993
1527a6315b
hex199787a5

429361061 has 16 divisors (see below), whose sum is σ = 478321200. Its totient is φ = 383569920.

The previous prime is 429361043. The next prime is 429361073. The reversal of 429361061 is 160163924.

It can be written as a sum of positive squares in 8 ways, for example, as 23338561 + 406022500 = 4831^2 + 20150^2 .

It is a cyclic number.

It is not a de Polignac number, because 429361061 - 226 = 362252197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429361081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17465 + ... + 34113.

It is an arithmetic number, because the mean of its divisors is an integer number (29895075).

Almost surely, 2429361061 is an apocalyptic number.

429361061 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

429361061 is a deficient number, since it is larger than the sum of its proper divisors (48960139).

429361061 is a wasteful number, since it uses less digits than its factorization.

429361061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 429361061 is about 20721.0294387127. The cubic root of 429361061 is about 754.4102003093.

The spelling of 429361061 in words is "four hundred twenty-nine million, three hundred sixty-one thousand, sixty-one".

Divisors: 1 17 37 41 629 697 1517 16649 25789 283033 616013 682609 10472221 11604353 25256533 429361061