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30804948 = 2234313067
BaseRepresentation
bin111010110000…
…0101111010100
32010222001110000
41311200233110
530341224243
63020131300
7522560226
oct165405724
963861400
1030804948
1116430239
12a396b30
1364c74a5
14413c416
152a875d3
hex1d60bd4

30804948 has 60 divisors (see below), whose sum is σ = 83155072. Its totient is φ = 9933840.

The previous prime is 30804941. The next prime is 30804971. The reversal of 30804948 is 84940803.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30804941) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8511 + ... + 11577.

Almost surely, 230804948 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 30804948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41577536).

30804948 is an abundant number, since it is smaller than the sum of its proper divisors (52350124).

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

30804948 is a wasteful number, since it uses less digits than its factorization.

30804948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30804948 is about 5550.2205361589. The cubic root of 30804948 is about 313.4778263203.

The spelling of 30804948 in words is "thirty million, eight hundred four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3067 3348 5022 6134 9201 10044 12268 18402 27603 36804 55206 82809 95077 110412 165618 190154 248427 285231 331236 380308 496854 570462 855693 993708 1140924 1711386 2567079 3422772 5134158 7701237 10268316 15402474 30804948