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30730976 = 254159397
BaseRepresentation
bin111010100111…
…0101011100000
32010211021222022
41311032223200
530331342401
63014401012
7522131453
oct165165340
963737868
1030730976
111638a701
12a360168
13649c913
14411d49a
152a7071b
hex1d4eae0

30730976 has 48 divisors (see below), whose sum is σ = 63186480. Its totient is φ = 14699520.

The previous prime is 30730969. The next prime is 30730991. The reversal of 30730976 is 67903703.

It is a super-3 number, since 3×307309763 (a number of 23 digits) contains 333 as substring.

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, 77210 + ... + 77606.

It is an arithmetic number, because the mean of its divisors is an integer number (1316385).

Almost surely, 230730976 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 30730976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31593240).

30730976 is an abundant number, since it is smaller than the sum of its proper divisors (32455504).

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

30730976 is a wasteful number, since it uses less digits than its factorization.

30730976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 35.

The square root of 30730976 is about 5543.5526515043. The cubic root of 30730976 is about 313.2267068410.

The spelling of 30730976 in words is "thirty million, seven hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 59 82 118 164 236 328 397 472 656 794 944 1312 1588 1888 2419 3176 4838 6352 9676 12704 16277 19352 23423 32554 38704 46846 65108 77408 93692 130216 187384 260432 374768 520864 749536 960343 1920686 3841372 7682744 15365488 30730976