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34043472 = 2432594007
BaseRepresentation
bin1000000111011…
…1011001010000
32101001120212100
42001313121100
532203342342
63213400400
7562236051
oct201673120
971046770
1034043472
1118242401
12b499100
13708c588
144742728
152ec6e4c
hex2077650

34043472 has 60 divisors (see below), whose sum is σ = 96913440. Its totient is φ = 11152704.

The previous prime is 34043453. The next prime is 34043501. The reversal of 34043472 is 27434043.

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 11 ways as a sum of consecutive naturals, for example, 6493 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (1615224).

Almost surely, 234043472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34043472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48456720).

34043472 is an abundant number, since it is smaller than the sum of its proper divisors (62869968).

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

34043472 is a wasteful number, since it uses less digits than its factorization.

34043472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 34043472 is about 5834.6783973069. The cubic root of 34043472 is about 324.0991923087.

The spelling of 34043472 in words is "thirty-four million, forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4007 4248 8014 8496 12021 16028 24042 32056 36063 48084 64112 72126 96168 144252 192336 236413 288504 472826 577008 709239 945652 1418478 1891304 2127717 2836956 3782608 4255434 5673912 8510868 11347824 17021736 34043472