Search a number
-
+
30467008 = 2611133329
BaseRepresentation
bin111010000111…
…0001111000000
32010022212212201
41310032033000
530244421013
63005002544
7516652045
oct164161700
963285781
1030467008
111621a350
12a253454
136409720
1440911cc
152a1c3dd
hex1d0e3c0

30467008 has 56 divisors (see below), whose sum is σ = 71048880. Its totient is φ = 12779520.

The previous prime is 30466967. The next prime is 30467027. The reversal of 30467008 is 80076403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7488 + ... + 10816.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730).

Almost surely, 230467008 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 30467008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35524440).

30467008 is an abundant number, since it is smaller than the sum of its proper divisors (40581872).

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

30467008 is a wasteful number, since it uses less digits than its factorization.

30467008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 30467008 is about 5519.6927450720. The cubic root of 30467008 is about 312.3272918743.

The spelling of 30467008 in words is "thirty million, four hundred sixty-seven thousand, eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 3329 4576 6658 9152 13316 26632 36619 43277 53264 73238 86554 106528 146476 173108 213056 292952 346216 476047 585904 692432 952094 1171808 1384864 1904188 2343616 2769728 3808376 7616752 15233504 30467008