Search a number
-
+
30670320 = 2435472719
BaseRepresentation
bin111010011111…
…1110111110000
32010201012202210
41310333313300
530322422240
63013212120
7521456562
oct164776760
963635683
1030670320
111634907a
12a331040
13647b125
144105332
152a5c780
hex1d3fdf0

30670320 has 80 divisors (see below), whose sum is σ = 97136640. Its totient is φ = 8001792.

The previous prime is 30670319. The next prime is 30670349. The reversal of 30670320 is 2307603.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9921 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (1214208).

Almost surely, 230670320 is an apocalyptic number.

30670320 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 30670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

30670320 is an abundant number, since it is smaller than the sum of its proper divisors (66466320).

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

30670320 is a wasteful number, since it uses less digits than its factorization.

30670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 30670320 is about 5538.0790893594. The cubic root of 30670320 is about 313.0204915354.

Adding to 30670320 its reverse (2307603), we get a palindrome (32977923).

The spelling of 30670320 in words is "thirty million, six hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2719 2820 3760 5438 5640 8157 10876 11280 13595 16314 21752 27190 32628 40785 43504 54380 65256 81570 108760 127793 130512 163140 217520 255586 326280 383379 511172 638965 652560 766758 1022344 1277930 1533516 1916895 2044688 2555860 3067032 3833790 5111720 6134064 7667580 10223440 15335160 30670320