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128345742 = 2337339539
BaseRepresentation
bin1111010011001…
…10011010001110
322221111122021000
413221212122032
5230324030432
620422521130
73115630560
oct751463216
9287448230
10128345742
11664a2068
1236b961a6
1320789835
141308d330
15b40357c
hex7a6668e

128345742 has 32 divisors (see below), whose sum is σ = 325958400. Its totient is φ = 36670104.

The previous prime is 128345729. The next prime is 128345747. The reversal of 128345742 is 247543821.

It is a happy number.

128345742 is a `hidden beast` number, since 1 + 2 + 83 + 4 + 574 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128345697 and 128345706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128345747) 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, 169392 + ... + 170147.

It is an arithmetic number, because the mean of its divisors is an integer number (10186200).

Almost surely, 2128345742 is an apocalyptic number.

128345742 is an abundant number, since it is smaller than the sum of its proper divisors (197612658).

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

128345742 is a wasteful number, since it uses less digits than its factorization.

128345742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339557 (or 339551 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 128345742 is about 11328.9779768521. The cubic root of 128345742 is about 504.4217699613.

The spelling of 128345742 in words is "one hundred twenty-eight million, three hundred forty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 339539 679078 1018617 2037234 2376773 3055851 4753546 6111702 7130319 9167553 14260638 18335106 21390957 42781914 64172871 128345742