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14346660 = 22351571523
BaseRepresentation
bin110110101110…
…100110100100
3222222212220210
4312232212210
512133043120
61231255420
7232641666
oct66564644
928885823
1014346660
118109949
12497a570
132c84163
141c96536
1513d5ce0
hexdae9a4

14346660 has 48 divisors (see below), whose sum is σ = 40453056. Its totient is φ = 3798912.

The previous prime is 14346659. The next prime is 14346719. The reversal of 14346660 is 6664341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8659 + ... + 10181.

It is an arithmetic number, because the mean of its divisors is an integer number (842772).

Almost surely, 214346660 is an apocalyptic number.

14346660 is a gapful number since it is divisible by the number (10) 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 14346660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226528).

14346660 is an abundant number, since it is smaller than the sum of its proper divisors (26106396).

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

14346660 is a wasteful number, since it uses less digits than its factorization.

14346660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 14346660 is about 3787.6985096494. The cubic root of 14346660 is about 242.9873149571.

The spelling of 14346660 in words is "fourteen million, three hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1523 1570 1884 2355 3046 3140 4569 4710 6092 7615 9138 9420 15230 18276 22845 30460 45690 91380 239111 478222 717333 956444 1195555 1434666 2391110 2869332 3586665 4782220 7173330 14346660