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198434961 = 3323319541
BaseRepresentation
bin10111101001111…
…10000010010001
3111211101112121000
423310332002101
5401244404321
631405052213
74626445404
oct1364760221
9454345530
10198434961
11a201413a
1256557069
1332159b4a
141c4d5d3b
151264a826
hexbd3e091

198434961 has 16 divisors (see below), whose sum is σ = 306760320. Its totient is φ = 126537840.

The previous prime is 198434927. The next prime is 198434963. The reversal of 198434961 is 169434891.

198434961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 198434961 - 213 = 198426769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198434963) 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, 159150 + ... + 160391.

It is an arithmetic number, because the mean of its divisors is an integer number (19172520).

Almost surely, 2198434961 is an apocalyptic number.

It is an amenable number.

198434961 is a deficient number, since it is larger than the sum of its proper divisors (108325359).

198434961 is a wasteful number, since it uses less digits than its factorization.

198434961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319573 (or 319567 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 198434961 is about 14086.6944667654. The cubic root of 198434961 is about 583.2741508031.

The spelling of 198434961 in words is "one hundred ninety-eight million, four hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 23 27 69 207 621 319541 958623 2875869 7349443 8627607 22048329 66144987 198434961