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343144032 = 25371161761
BaseRepresentation
bin10100011100111…
…111011001100000
3212220200112010020
4110130333121200
51200321102112
654014433440
711334450630
oct2434773140
9786615106
10343144032
11166772210
1296b02880
135612570a
14338046c0
15201d248c
hex1473f660

343144032 has 192 divisors, whose sum is σ = 1142926848. Its totient is φ = 87552000.

The previous prime is 343144003. The next prime is 343144057. The reversal of 343144032 is 230441343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 343143993 and 343144011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450532 + ... + 451292.

It is an arithmetic number, because the mean of its divisors is an integer number (5952744).

Almost surely, 2343144032 is an apocalyptic number.

343144032 is a gapful number since it is divisible by the number (32) 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 343144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571463424).

343144032 is an abundant number, since it is smaller than the sum of its proper divisors (799782816).

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

343144032 is a wasteful number, since it uses less digits than its factorization.

343144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 343144032 is about 18524.1472678232. The cubic root of 343144032 is about 700.0979672409.

Adding to 343144032 its reverse (230441343), we get a palindrome (573585375).

The spelling of 343144032 in words is "three hundred forty-three million, one hundred forty-four thousand, thirty-two".