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43349040 = 2433574761
BaseRepresentation
bin1010010101011…
…1010000110000
310000120100201000
42211113100300
542044132130
64145042000
71034314020
oct245272060
9100510630
1043349040
1122518859
1212626300
138c9a027
145a85a80
153c14260
hex2957430

43349040 has 320 divisors, whose sum is σ = 177131520. Its totient is φ = 9538560.

The previous prime is 43349039. The next prime is 43349063. The reversal of 43349040 is 4094334.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 43348995 and 43349013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710610 + ... + 710670.

It is an arithmetic number, because the mean of its divisors is an integer number (553536).

Almost surely, 243349040 is an apocalyptic number.

43349040 is a gapful number since it is divisible by the number (40) 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 43349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

43349040 is an abundant number, since it is smaller than the sum of its proper divisors (133782480).

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

43349040 is a wasteful number, since it uses less digits than its factorization.

43349040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 43349040 is about 6583.9987849331. The cubic root of 43349040 is about 351.2851798792.

The spelling of 43349040 in words is "forty-three million, three hundred forty-nine thousand, forty".