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343823480 = 2357111331277
BaseRepresentation
bin10100011111100…
…101010001111000
3212221222001010222
4110133211101320
51201004322410
654041155212
711343310550
oct2437452170
9787861128
10343823480
11167096740
129718bb08
1356302a60
1433940160
15202b8955
hex147e5478

343823480 has 256 divisors, whose sum is σ = 1076060160. Its totient is φ = 95385600.

The previous prime is 343823479. The next prime is 343823497. The reversal of 343823480 is 84328343.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 343823480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241102 + ... + 1241378.

It is an arithmetic number, because the mean of its divisors is an integer number (4203360).

Almost surely, 2343823480 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 343823480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538030080).

343823480 is an abundant number, since it is smaller than the sum of its proper divisors (732236680).

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

343823480 is a wasteful number, since it uses less digits than its factorization.

343823480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 343823480 is about 18542.4777200891. The cubic root of 343823480 is about 700.5597427684.

343823480 divided by its sum of digits (35) gives a triangular number (9823528 = T4432).

The spelling of 343823480 in words is "three hundred forty-three million, eight hundred twenty-three thousand, four hundred eighty".