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147342312 = 233213212109
BaseRepresentation
bin10001100100001…
…00001111101000
3101021020202122200
420302010033220
5300204423222
622342020200
73436250265
oct1062041750
9337222580
10147342312
1176197507
1241417660
13246ab300
14157d626c
15ce06eac
hex8c843e8

147342312 has 72 divisors (see below), whose sum is σ = 432145350. Its totient is φ = 45332352.

The previous prime is 147342289. The next prime is 147342319. The reversal of 147342312 is 213243741.

It is a happy number.

147342312 is a `hidden beast` number, since 1 + 4 + 7 + 342 + 312 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 123076836 + 24265476 = 11094^2 + 4926^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (147342319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6114 + ... + 18222.

Almost surely, 2147342312 is an apocalyptic number.

147342312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216072675).

147342312 is an abundant number, since it is smaller than the sum of its proper divisors (284803038).

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

147342312 is a wasteful number, since it uses less digits than its factorization.

147342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12127 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 147342312 is about 12138.4641532609. The cubic root of 147342312 is about 528.1725503537.

The spelling of 147342312 in words is "one hundred forty-seven million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12109 12168 24218 36327 48436 72654 96872 108981 145308 157417 217962 290616 314834 435924 472251 629668 871848 944502 1259336 1416753 1889004 2046421 2833506 3778008 4092842 5667012 6139263 8185684 11334024 12278526 16371368 18417789 24557052 36835578 49114104 73671156 147342312