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309030048 = 25321318191
BaseRepresentation
bin10010011010110…
…110110010100000
3210112111100112100
4102122312302200
51113102430143
650355330400
710441466145
oct2232666240
9715440470
10309030048
11149491938
12875b0a00
134c040022
142d0843cc
151c1e46d3
hex126b6ca0

309030048 has 72 divisors (see below), whose sum is σ = 885620736. Its totient is φ = 102211200.

The previous prime is 309029977. The next prime is 309030053. The reversal of 309030048 is 840030903.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 33633 + ... + 41823.

It is an arithmetic number, because the mean of its divisors is an integer number (12300288).

Almost surely, 2309030048 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 309030048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442810368).

309030048 is an abundant number, since it is smaller than the sum of its proper divisors (576590688).

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

309030048 is a wasteful number, since it uses less digits than its factorization.

309030048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 309030048 is about 17579.2504959683. The cubic root of 309030048 is about 676.0833434817.

The spelling of 309030048 in words is "three hundred nine million, thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 8191 9432 12576 16382 18864 24573 32764 37728 49146 65528 73719 98292 131056 147438 196584 262112 294876 393168 589752 786336 1073021 1179504 2146042 2359008 3219063 4292084 6438126 8584168 9657189 12876252 17168336 19314378 25752504 34336672 38628756 51505008 77257512 103010016 154515024 309030048