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323421000 = 23353715401
BaseRepresentation
bin10011010001110…
…000001101001000
3211112120111012120
4103101300031020
51130243433000
652032011240
711005014240
oct2321601510
9745514176
10323421000
11156620a91
1290390b20
135200b396
1430d4cb20
151d5d86a0
hex13470348

323421000 has 128 divisors (see below), whose sum is σ = 1153301760. Its totient is φ = 73920000.

The previous prime is 323420953. The next prime is 323421001. The reversal of 323421000 is 124323.

It is a super-2 number, since 2×3234210002 = 209202286482000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (323421001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13300 + ... + 28700.

It is an arithmetic number, because the mean of its divisors is an integer number (9010170).

Almost surely, 2323421000 is an apocalyptic number.

323421000 is a gapful number since it is divisible by the number (30) 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 323421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576650880).

323421000 is an abundant number, since it is smaller than the sum of its proper divisors (829880760).

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

323421000 is a wasteful number, since it uses less digits than its factorization.

323421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 323421000 is about 17983.9094748611. The cubic root of 323421000 is about 686.4191722303.

Adding to 323421000 its reverse (124323), we get a palindrome (323545323).

The spelling of 323421000 in words is "three hundred twenty-three million, four hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 15401 21000 30802 46203 61604 77005 92406 107807 123208 154010 184812 215614 231015 308020 323421 369624 385025 431228 462030 539035 616040 646842 770050 862456 924060 1078070 1155075 1293684 1540100 1617105 1848120 1925125 2156140 2310150 2587368 2695175 3080200 3234210 3850250 4312280 4620300 5390350 5775375 6468420 7700500 8085525 9240600 10780700 11550750 12936840 13475875 15401000 16171050 21561400 23101500 26951750 32342100 40427625 46203000 53903500 64684200 80855250 107807000 161710500 323421000