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14323400 = 2352713787
BaseRepresentation
bin110110101000…
…111011001000
3222221201000022
4312220323020
512131322100
61231000012
7232514120
oct66507310
928851008
1014323400
1180a3423
124969008
132c766b0
141c8bc80
1513cde85
hexda8ec8

14323400 has 96 divisors (see below), whose sum is σ = 41039040. Its totient is φ = 4527360.

The previous prime is 14323373. The next prime is 14323417. The reversal of 14323400 is 432341.

14323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17807 + ... + 18593.

It is an arithmetic number, because the mean of its divisors is an integer number (427490).

Almost surely, 214323400 is an apocalyptic number.

14323400 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 14323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519520).

14323400 is an abundant number, since it is smaller than the sum of its proper divisors (26715640).

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

14323400 is a wasteful number, since it uses less digits than its factorization.

14323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 14323400 is about 3784.6267979815. The cubic root of 14323400 is about 242.8559268352.

Adding to 14323400 its reverse (432341), we get a palindrome (14755741).

The spelling of 14323400 in words is "fourteen million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 787 910 1300 1400 1574 1820 2275 2600 3148 3640 3935 4550 5509 6296 7870 9100 10231 11018 15740 18200 19675 20462 22036 27545 31480 39350 40924 44072 51155 55090 71617 78700 81848 102310 110180 137725 143234 157400 204620 220360 255775 275450 286468 358085 409240 511550 550900 572936 716170 1023100 1101800 1432340 1790425 2046200 2864680 3580850 7161700 14323400