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34554975 = 3527136183
BaseRepresentation
bin1000001111010…
…0010001011111
32102000120111220
42003310101133
532321224400
63232344423
7566466240
oct203642137
972016456
1034554975
1118561734
12b6a5113
13720b340
144836cc7
1530787a0
hex20f445f

34554975 has 96 divisors (see below), whose sum is σ = 72328704. Its totient is φ = 14169600.

The previous prime is 34554973. The next prime is 34554997. The reversal of 34554975 is 57945543.

34554975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34554975 - 21 = 34554973 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34554973) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 416284 + ... + 416366.

It is an arithmetic number, because the mean of its divisors is an integer number (753424).

Almost surely, 234554975 is an apocalyptic number.

34554975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34554975 is an abundant number, since it is smaller than the sum of its proper divisors (37773729).

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

34554975 is a wasteful number, since it uses less digits than its factorization.

34554975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 34554975 is about 5878.3479822141. The cubic root of 34554975 is about 325.7143262487.

The spelling of 34554975 in words is "thirty-four million, five hundred fifty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 61 65 75 83 91 105 175 183 195 249 273 305 325 415 427 455 525 581 793 915 975 1079 1245 1281 1365 1525 1743 2075 2135 2275 2379 2905 3237 3965 4575 5063 5395 5551 6225 6405 6825 7553 8715 10675 11895 14525 15189 16185 16653 19825 22659 25315 26975 27755 32025 35441 37765 43575 59475 65819 75945 80925 83265 106323 113295 126575 138775 177205 188825 197457 329095 379725 416325 460733 531615 566475 886025 987285 1382199 1645475 2303665 2658075 4936425 6910995 11518325 34554975