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434932961 = 4188112041
BaseRepresentation
bin11001111011001…
…000110011100001
31010022101212212012
4121323020303201
51342320323321
6111054042305
713530604061
oct3173106341
91108355765
10434932961
11203565631
121017a9395
136c1529a8
1441a993a1
15282b405b
hex19ec8ce1

434932961 has 8 divisors (see below), whose sum is σ = 446083848. Its totient is φ = 423808000.

The previous prime is 434932957. The next prime is 434932987. The reversal of 434932961 is 169239434.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 434931025 = 44^2 + 20855^2 .

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

It is a 3-Lehmer number, since φ(434932961) divides (434932961-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 434932961 - 22 = 434932957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a deceptive number, since it divides R434932960.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434932931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30101 + ... + 42141.

It is an arithmetic number, because the mean of its divisors is an integer number (55760481).

It is a Poulet number, since it divides 2434932960-1.

Almost surely, 2434932961 is an apocalyptic number.

434932961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

434932961 is the 12041-st octagonal number.

It is an amenable number.

434932961 is a deficient number, since it is larger than the sum of its proper divisors (11150887).

434932961 is a wasteful number, since it uses less digits than its factorization.

434932961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963.

The product of its digits is 139968, while the sum is 41.

The square root of 434932961 is about 20855.0464156760. The cubic root of 434932961 is about 757.6595595289.

The spelling of 434932961 in words is "four hundred thirty-four million, nine hundred thirty-two thousand, nine hundred sixty-one".

Divisors: 1 41 881 12041 36121 493681 10608121 434932961