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34471472 = 2471997167
BaseRepresentation
bin1000001101111…
…1111000110000
32101212022222012
42003133320300
532311041342
63230502052
7566000630
oct203377060
971768865
1034471472
1118504a22
12b664928
1371ac329
1448146c0
15305db82
hex20dfe30

34471472 has 80 divisors (see below), whose sum is σ = 81661440. Its totient is φ = 13768704.

The previous prime is 34471469. The next prime is 34471487. The reversal of 34471472 is 27417443.

34471472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206333 + ... + 206499.

It is an arithmetic number, because the mean of its divisors is an integer number (1020768).

Almost surely, 234471472 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 34471472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40830720).

34471472 is an abundant number, since it is smaller than the sum of its proper divisors (47189968).

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

34471472 is a wasteful number, since it uses less digits than its factorization.

34471472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 18816, while the sum is 32.

The square root of 34471472 is about 5871.2410953733. The cubic root of 34471472 is about 325.4517488999.

It can be divided in two parts, 34471 and 472, that added together give a palindrome (34943).

The spelling of 34471472 in words is "thirty-four million, four hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 97 112 133 152 167 194 266 304 334 388 532 668 679 776 1064 1169 1336 1358 1552 1843 2128 2338 2672 2716 3173 3686 4676 5432 6346 7372 9352 10864 12692 12901 14744 16199 18704 22211 25384 25802 29488 32398 44422 50768 51604 64796 88844 103208 113393 129592 177688 206416 226786 259184 307781 355376 453572 615562 907144 1231124 1814288 2154467 2462248 4308934 4924496 8617868 17235736 34471472