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14314700 = 2252433329
BaseRepresentation
bin110110100110…
…110011001100
3222221021002002
4312212303030
512131032300
61230451432
7232446551
oct66466314
928837062
1014314700
118097934
124963b78
132c7274a
141c88a28
1513cb5d5
hexda6ccc

14314700 has 36 divisors (see below), whose sum is σ = 31794840. Its totient is φ = 5591040.

The previous prime is 14314679. The next prime is 14314709. The reversal of 14314700 is 741341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14314709) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2636 + ... + 5964.

It is an arithmetic number, because the mean of its divisors is an integer number (883190).

Almost surely, 214314700 is an apocalyptic number.

14314700 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 14314700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897420).

14314700 is an abundant number, since it is smaller than the sum of its proper divisors (17480140).

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

14314700 is a wasteful number, since it uses less digits than its factorization.

14314700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 14314700 is about 3783.4772366171. The cubic root of 14314700 is about 242.8067468340.

The spelling of 14314700 in words is "fourteen million, three hundred fourteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 3329 4300 6658 13316 16645 33290 66580 83225 143147 166450 286294 332900 572588 715735 1431470 2862940 3578675 7157350 14314700