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343165680 = 2433511213101
BaseRepresentation
bin10100011101000…
…100101011110000
3212220201121211000
4110131010223300
51200322300210
654015122000
711334601014
oct2435045360
9786647730
10343165680
11166787500
1296b13300
1356132520
143380c544
15201d8ac0
hex14744af0

343165680 has 480 divisors, whose sum is σ = 1413034560. Its totient is φ = 76032000.

The previous prime is 343165673. The next prime is 343165703. The reversal of 343165680 is 86561343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3397630 + ... + 3397730.

It is an arithmetic number, because the mean of its divisors is an integer number (2943822).

Almost surely, 2343165680 is an apocalyptic number.

343165680 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 343165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706517280).

343165680 is an abundant number, since it is smaller than the sum of its proper divisors (1069868880).

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

343165680 is a wasteful number, since it uses less digits than its factorization.

343165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 343165680 is about 18524.7315770027. The cubic root of 343165680 is about 700.1126893408.

The spelling of 343165680 in words is "three hundred forty-three million, one hundred sixty-five thousand, six hundred eighty".