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30971008 = 271743331
BaseRepresentation
bin111011000100…
…1010010000000
32011021111020101
41312021102000
530412033013
63023452144
7524151325
oct166112200
964244211
1030971008
1116533a82
12a457054
136554c53
144182b4c
152abb8dd
hex1d89480

30971008 has 64 divisors (see below), whose sum is σ = 67050720. Its totient is φ = 14192640.

The previous prime is 30970999. The next prime is 30971029. The reversal of 30971008 is 80017903.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93403 + ... + 93733.

Almost surely, 230971008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33525360).

30971008 is an abundant number, since it is smaller than the sum of its proper divisors (36079712).

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

30971008 is a wasteful number, since it uses less digits than its factorization.

30971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 30971008 is about 5565.1601953583. The cubic root of 30971008 is about 314.0401046859.

It can be divided in two parts, 309 and 71008, that added together give a palindrome (71317).

The spelling of 30971008 in words is "thirty million, nine hundred seventy-one thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 272 331 344 544 662 688 731 1088 1324 1376 1462 2176 2648 2752 2924 5296 5504 5627 5848 10592 11254 11696 14233 21184 22508 23392 28466 42368 45016 46784 56932 90032 93568 113864 180064 227728 241961 360128 455456 483922 720256 910912 967844 1821824 1935688 3871376 7742752 15485504 30971008