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34382075 = 52721317127
BaseRepresentation
bin1000001100101…
…0000011111011
32101200210100012
42003022003323
532300211300
63224532135
7565146200
oct203120373
971623305
1034382075
1118453842
12b62104b
13717a730
1447cdca7
153042435
hex20ca0fb

34382075 has 72 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 20321280.

The previous prime is 34382063. The next prime is 34382083. The reversal of 34382075 is 57028343.

It is a happy number.

It is not a de Polignac number, because 34382075 - 24 = 34382059 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270662 + ... + 270788.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 234382075 is an apocalyptic number.

34382075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34382075 is a deficient number, since it is larger than the sum of its proper divisors (22614277).

34382075 is a wasteful number, since it uses less digits than its factorization.

34382075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 34382075 is about 5863.6230267643. The cubic root of 34382075 is about 325.1701672965.

The spelling of 34382075 in words is "thirty-four million, three hundred eighty-two thousand, seventy-five".

Divisors: 1 5 7 13 17 25 35 49 65 85 91 119 127 175 221 245 325 425 455 595 635 637 833 889 1105 1225 1547 1651 2159 2275 2975 3175 3185 4165 4445 5525 6223 7735 8255 10795 10829 11557 15113 15925 20825 22225 28067 31115 38675 41275 53975 54145 57785 75565 80899 105791 140335 155575 196469 270725 288925 377825 404495 528955 701675 982345 1375283 2022475 2644775 4911725 6876415 34382075