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234000048 = 24319256579
BaseRepresentation
bin11011111001010…
…00111010110000
3121022022102201110
431330220322300
5434401000143
635115233320
75540652612
oct1574507260
9538272643
10234000048
111100a5777
1266448840
133962cb89
1423112db2
1515823533
hexdf28eb0

234000048 has 40 divisors (see below), whose sum is σ = 636318400. Its totient is φ = 73894464.

The previous prime is 234000047. The next prime is 234000071. The reversal of 234000048 is 840000432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233999988 and 234000033.

It is not an unprimeable number, because it can be changed into a prime (234000047) 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, 127378 + ... + 129201.

It is an arithmetic number, because the mean of its divisors is an integer number (15907960).

Almost surely, 2234000048 is an apocalyptic number.

It is an amenable number.

234000048 is an abundant number, since it is smaller than the sum of its proper divisors (402318352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234000048 is a wasteful number, since it uses less digits than its factorization.

234000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256609 (or 256603 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 234000048 is about 15297.0601097074. The cubic root of 234000048 is about 616.2240569099.

The spelling of 234000048 in words is "two hundred thirty-four million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 256579 513158 769737 1026316 1539474 2052632 3078948 4105264 4875001 6157896 9750002 12315792 14625003 19500004 29250006 39000008 58500012 78000016 117000024 234000048