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3880890 = 23251331107
BaseRepresentation
bin1110110011011110111010
321022011120200
432303132322
51443142030
6215103030
744662356
oct16633672
97264520
103880890
112210852
121371a76
13a5b5b0
14730466
15519d60
hex3b37ba

3880890 has 96 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 915840.

The previous prime is 3880889. The next prime is 3880897. The reversal of 3880890 is 980883.

It is a super-2 number, since 2×38808902 = 30122614384200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3880897) 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, 36217 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 23880890 is an apocalyptic number.

3880890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3880890 is an abundant number, since it is smaller than the sum of its proper divisors (7440966).

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

3880890 is a wasteful number, since it uses less digits than its factorization.

3880890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3880890 is about 1969.9974619273. The cubic root of 3880890 is about 157.1485739754.

The spelling of 3880890 in words is "three million, eight hundred eighty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 107 117 130 155 186 195 214 234 279 310 321 390 403 465 535 558 585 642 806 930 963 1070 1170 1209 1391 1395 1605 1926 2015 2418 2782 2790 3210 3317 3627 4030 4173 4815 6045 6634 6955 7254 8346 9630 9951 12090 12519 13910 16585 18135 19902 20865 25038 29853 33170 36270 41730 43121 49755 59706 62595 86242 99510 125190 129363 149265 215605 258726 298530 388089 431210 646815 776178 1293630 1940445 3880890