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30846976 = 21217443
BaseRepresentation
bin111010110101…
…1000000000000
32011001012002121
41311223000000
530344100401
63021054024
7523123606
oct165530000
964035077
1030846976
1116459876
12a3b7314
136510664
14414d876
152a94ca1
hex1d6b000

30846976 has 52 divisors (see below), whose sum is σ = 65462472. Its totient is φ = 14483456.

The previous prime is 30846967. The next prime is 30847021. The reversal of 30846976 is 67964803.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69411 + ... + 69853.

Almost surely, 230846976 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 30846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32731236).

30846976 is an abundant number, since it is smaller than the sum of its proper divisors (34615496).

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

30846976 is an equidigital number, since it uses as much as digits as its factorization.

30846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 30846976 is about 5554.0054015098. The cubic root of 30846976 is about 313.6203235475.

The spelling of 30846976 in words is "thirty million, eight hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 443 512 544 886 1024 1088 1772 2048 2176 3544 4096 4352 7088 7531 8704 14176 15062 17408 28352 30124 34816 56704 60248 69632 113408 120496 226816 240992 453632 481984 907264 963968 1814528 1927936 3855872 7711744 15423488 30846976