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30850320 = 2435191673
BaseRepresentation
bin111010110101…
…1110100010000
32011001100200110
41311223310100
530344202240
63021121320
7523136424
oct165536420
964040613
1030850320
1116461336
12a3b9240
136512037
144150b84
152a95c80
hex1d6bd10

30850320 has 80 divisors (see below), whose sum is σ = 96279552. Its totient is φ = 8171520.

The previous prime is 30850289. The next prime is 30850331. The reversal of 30850320 is 2305803.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 45504 + ... + 46176.

Almost surely, 230850320 is an apocalyptic number.

30850320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30850320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48139776).

30850320 is an abundant number, since it is smaller than the sum of its proper divisors (65429232).

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

30850320 is a wasteful number, since it uses less digits than its factorization.

30850320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30850320 is about 5554.3064373511. The cubic root of 30850320 is about 313.6316559222.

The spelling of 30850320 in words is "thirty million, eight hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 673 764 955 1146 1346 1528 1910 2019 2292 2692 2865 3056 3365 3820 4038 4584 5384 5730 6730 7640 8076 9168 10095 10768 11460 13460 15280 16152 20190 22920 26920 32304 40380 45840 53840 80760 128543 161520 257086 385629 514172 642715 771258 1028344 1285430 1542516 1928145 2056688 2570860 3085032 3856290 5141720 6170064 7712580 10283440 15425160 30850320