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30971376 = 243371693
BaseRepresentation
bin111011000100…
…1010111110000
32011021111202000
41312021113300
530412041001
63023454000
7524152362
oct166112760
964244660
1030971376
1116534287
12a457300
136555177
144182d32
152abba86
hex1d895f0

30971376 has 40 divisors (see below), whose sum is σ = 88900560. Its totient is φ = 10323648.

The previous prime is 30971357. The next prime is 30971383. The reversal of 30971376 is 67317903.

It is a super-2 number, since 2×309713762 = 1918452262666752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30971376.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35415 + ... + 36278.

It is an arithmetic number, because the mean of its divisors is an integer number (2222514).

Almost surely, 230971376 is an apocalyptic number.

30971376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30971376 is an abundant number, since it is smaller than the sum of its proper divisors (57929184).

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

30971376 is a wasteful number, since it uses less digits than its factorization.

30971376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71710 (or 71698 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 30971376 is about 5565.1932580998. The cubic root of 30971376 is about 314.0413484976.

The spelling of 30971376 in words is "thirty million, nine hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 71693 143386 215079 286772 430158 573544 645237 860316 1147088 1290474 1720632 1935711 2580948 3441264 3871422 5161896 7742844 10323792 15485688 30971376