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34483740 = 2235737873
BaseRepresentation
bin1000001110001…
…0111000011100
32101212221210120
42003202320130
532311434430
63231034540
7566051454
oct203427034
971787716
1034483740
1118513165
12b66ba50
1371b4aa5
144818d64
153062610
hex20e2e1c

34483740 has 48 divisors (see below), whose sum is σ = 97889568. Its totient is φ = 9068544.

The previous prime is 34483733. The next prime is 34483753. The reversal of 34483740 is 4738443.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 444 + ... + 8316.

It is an arithmetic number, because the mean of its divisors is an integer number (2039366).

Almost surely, 234483740 is an apocalyptic number.

34483740 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 34483740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944784).

34483740 is an abundant number, since it is smaller than the sum of its proper divisors (63405828).

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

34483740 is a wasteful number, since it uses less digits than its factorization.

34483740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 34483740 is about 5872.2857559897. The cubic root of 34483740 is about 325.4903524976.

The spelling of 34483740 in words is "thirty-four million, four hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 7873 15746 23619 31492 39365 47238 78730 94476 118095 157460 236190 472380 574729 1149458 1724187 2298916 2873645 3448374 5747290 6896748 8620935 11494580 17241870 34483740