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424370961 = 3376136809
BaseRepresentation
bin11001010010110…
…110001100010001
31002120112021112000
4121102312030101
51332114332321
6110035424213
713342044060
oct3122661421
91076467460
10424370961
111a8601203
12ba155069
1369bc53a1
144050a1d7
15273c9826
hex194b6311

424370961 has 32 divisors (see below), whose sum is σ = 730310400. Its totient is φ = 238515840.

The previous prime is 424370927. The next prime is 424371001. The reversal of 424370961 is 169073424.

It is not a de Polignac number, because 424370961 - 219 = 423846673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424370761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6876 + ... + 29933.

It is an arithmetic number, because the mean of its divisors is an integer number (22822200).

Almost surely, 2424370961 is an apocalyptic number.

It is an amenable number.

424370961 is a deficient number, since it is larger than the sum of its proper divisors (305939439).

424370961 is a wasteful number, since it uses less digits than its factorization.

424370961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36886 (or 36880 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 424370961 is about 20600.2660419714. The cubic root of 424370961 is about 751.4761806148.

The spelling of 424370961 in words is "four hundred twenty-four million, three hundred seventy thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 11529 36809 110427 257663 331281 772989 993843 2245349 2318967 6736047 6956901 15717443 20208141 47152329 60624423 141456987 424370961