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343321020 = 223257272477
BaseRepresentation
bin10100011101101…
…010100110111100
3212221000111220100
4110131222212330
51200342233040
654022321100
711336115630
oct2435524674
9787014810
10343321020
11166883189
1296b89190
1356188143
143384cdc0
1520219b30
hex1476a9bc

343321020 has 72 divisors (see below), whose sum is σ = 1190183904. Its totient is φ = 78473088.

The previous prime is 343320983. The next prime is 343321031. The reversal of 343321020 is 20123343.

343321020 is a `hidden beast` number, since 3 + 433 + 210 + 20 = 666.

343321020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 343320984 and 343321002.

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, 134979 + ... + 137498.

It is an arithmetic number, because the mean of its divisors is an integer number (16530332).

Almost surely, 2343321020 is an apocalyptic number.

343321020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343321020 is an abundant number, since it is smaller than the sum of its proper divisors (846862884).

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

343321020 is a wasteful number, since it uses less digits than its factorization.

343321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272499 (or 272494 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 343321020 is about 18528.9238759298. The cubic root of 343321020 is about 700.2183128589.

Adding to 343321020 its reverse (20123343), we get a palindrome (363444363).

The spelling of 343321020 in words is "three hundred forty-three million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 272477 544954 817431 1089908 1362385 1634862 1907339 2452293 2724770 3269724 3814678 4087155 4904586 5449540 5722017 7629356 8174310 9536695 9809172 11444034 12261465 16348620 17166051 19073390 22888068 24522930 28610085 34332102 38146780 49045860 57220170 68664204 85830255 114440340 171660510 343321020