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344373768 = 23316
BaseRepresentation
bin10100100001101…
…011101000001000
3220000000000000000
4110201223220020
51201124430033
654101043000
711351062104
oct2441535010
9800000000
10344373768
11167432122
12973b6460
135646637b
1433a44904
1520376a13
hex1486ba08

344373768 has 68 divisors (see below), whose sum is σ = 968551215. Its totient is φ = 114791256.

The previous prime is 344373707. The next prime is 344373773. The reversal of 344373768 is 867373443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 172186884 + 172186884 = 13122^2 + 13122^2 .

It is an ABA number since it can be written as A⋅BA, here for A=8, B=9.

Its product of digits (1016064) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

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 16 ways as a sum of consecutive naturals, for example, 114791255 + 114791256 + 114791257.

Almost surely, 2344373768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344373768

344373768 is an abundant number, since it is smaller than the sum of its proper divisors (624177447).

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

344373768 is an frugal number, since it uses more digits than its factorization.

344373768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 5 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 344373768 is about 18557.3103654598. The cubic root of 344373768 is about 700.9332911694.

The spelling of 344373768 in words is "three hundred forty-four million, three hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 52488 59049 78732 118098 157464 177147 236196 354294 472392 531441 708588 1062882 1417176 1594323 2125764 3188646 4251528 4782969 6377292 9565938 12754584 14348907 19131876 28697814 38263752 43046721 57395628 86093442 114791256 172186884 344373768