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146334768 = 24311092749
BaseRepresentation
bin10001011100011…
…10010000110000
3101012100120120020
420232032100300
5244430203033
622304243440
73424552656
oct1056162060
9335316506
10146334768
1175669528
1241010580
1324417828
1415612dd6
15cca86b3
hex8b8e430

146334768 has 40 divisors (see below), whose sum is σ = 378510000. Its totient is φ = 48716544.

The previous prime is 146334743. The next prime is 146334803. The reversal of 146334768 is 867433641.

It is a happy number.

It is a super-2 number, since 2×1463347682 = 42827728651227648, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51858 + ... + 54606.

It is an arithmetic number, because the mean of its divisors is an integer number (9462750).

Almost surely, 2146334768 is an apocalyptic number.

It is an amenable number.

146334768 is an abundant number, since it is smaller than the sum of its proper divisors (232175232).

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

146334768 is a wasteful number, since it uses less digits than its factorization.

146334768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3863 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 146334768 is about 12096.8908402118. The cubic root of 146334768 is about 526.9658938041.

The spelling of 146334768 in words is "one hundred forty-six million, three hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1109 2218 2749 3327 4436 5498 6654 8247 8872 10996 13308 16494 17744 21992 26616 32988 43984 53232 65976 131952 3048641 6097282 9145923 12194564 18291846 24389128 36583692 48778256 73167384 146334768