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324214000 = 24531114737
BaseRepresentation
bin10011010100110…
…001110011110000
3211121001202222221
4103110301303300
51130444322000
652101010424
711014526215
oct2324616360
9747052887
10324214000
11157012860
12906b3a14
1352228306
14310b7b0c
151d6e361a
hex13531cf0

324214000 has 80 divisors (see below), whose sum is σ = 855275616. Its totient is φ = 117888000.

The previous prime is 324213991. The next prime is 324214001. The reversal of 324214000 is 412423.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3242140002 = 210229435592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324214001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14632 + ... + 29368.

Almost surely, 2324214000 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 324214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427637808).

324214000 is an abundant number, since it is smaller than the sum of its proper divisors (531061616).

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

324214000 is a wasteful number, since it uses less digits than its factorization.

324214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14755 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 324214000 is about 18005.9434632013. The cubic root of 324214000 is about 686.9797275902.

Adding to 324214000 its reverse (412423), we get a palindrome (324626423).

The spelling of 324214000 in words is "three hundred twenty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 14737 22000 29474 58948 73685 117896 147370 162107 235792 294740 324214 368425 589480 648428 736850 810535 1178960 1296856 1473700 1621070 1842125 2593712 2947400 3242140 3684250 4052675 5894800 6484280 7368500 8105350 12968560 14737000 16210700 20263375 29474000 32421400 40526750 64842800 81053500 162107000 324214000