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34880895 = 335725273
BaseRepresentation
bin1000010100001…
…1110101111111
32102122010121000
42011003311333
532412142040
63243341343
7602324400
oct205036577
972563530
1034880895
1118764595
12b821853
1372c37aa
1448bd9a7
1530e0130
hex2143d7f

34880895 has 48 divisors (see below), whose sum is σ = 72148320. Its totient is φ = 15942528.

The previous prime is 34880891. The next prime is 34880927. The reversal of 34880895 is 59808843.

It is not a de Polignac number, because 34880895 - 22 = 34880891 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34880895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34880891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3979 + ... + 9251.

It is an arithmetic number, because the mean of its divisors is an integer number (1503090).

Almost surely, 234880895 is an apocalyptic number.

34880895 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34880895 is an abundant number, since it is smaller than the sum of its proper divisors (37267425).

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

34880895 is a wasteful number, since it uses less digits than its factorization.

34880895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 34880895 is about 5906.0049949183. The cubic root of 34880895 is about 326.7351613741.

The spelling of 34880895 in words is "thirty-four million, eight hundred eighty thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 5273 6615 15819 26365 36911 47457 79095 110733 142371 184555 237285 258377 332199 553665 711855 775131 996597 1291885 1660995 2325393 3875655 4982985 6976179 11626965 34880895