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343145880 = 2332571112379
BaseRepresentation
bin10100011100111…
…111110110011000
3212220200121122200
4110130333312120
51200321132010
654014450200
711334456210
oct2434776630
9786617580
10343145880
11166773640
1296b03960
13561264cc
1433805240
15201d2cc0
hex1473fd98

343145880 has 192 divisors, whose sum is σ = 1390521600. Its totient is φ = 71297280.

The previous prime is 343145827. The next prime is 343145899. The reversal of 343145880 is 88541343.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21531 + ... + 33909.

It is an arithmetic number, because the mean of its divisors is an integer number (7242300).

Almost surely, 2343145880 is an apocalyptic number.

343145880 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 343145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695260800).

343145880 is an abundant number, since it is smaller than the sum of its proper divisors (1047375720).

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

343145880 is a wasteful number, since it uses less digits than its factorization.

343145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12407 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 343145880 is about 18524.1971485946. The cubic root of 343145880 is about 700.0992240297.

The spelling of 343145880 in words is "three hundred forty-three million, one hundred forty-five thousand, eight hundred eighty".