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34781890 = 25111321871
BaseRepresentation
bin1000010010101…
…1101011000010
32102110002210011
42010223223002
532401010030
63241255134
7601432633
oct204535302
972402704
1034781890
11186a7170
12b7944aa
13728a700
14489588a
1530c0b2a
hex212bac2

34781890 has 48 divisors (see below), whose sum is σ = 73996416. Its totient is φ = 11668800.

The previous prime is 34781869. The next prime is 34781891. The reversal of 34781890 is 9818743.

34781890 = T1316 + T1317 + ... + T1354.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34781891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17655 + ... + 19525.

It is an arithmetic number, because the mean of its divisors is an integer number (1541592).

Almost surely, 234781890 is an apocalyptic number.

34781890 is an abundant number, since it is smaller than the sum of its proper divisors (39214526).

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

34781890 is a wasteful number, since it uses less digits than its factorization.

34781890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 34781890 is about 5897.6173154928. The cubic root of 34781890 is about 326.4257363185.

The spelling of 34781890 in words is "thirty-four million, seven hundred eighty-one thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 169 286 338 715 845 1430 1690 1859 1871 3718 3742 9295 9355 18590 18710 20581 24323 41162 48646 102905 121615 205810 243230 267553 316199 535106 632398 1337765 1580995 2675530 3161990 3478189 6956378 17390945 34781890