Search a number
-
+
30319240 = 2357231499
BaseRepresentation
bin111001110101…
…0001010001000
32010001101011211
41303222022020
530230203430
63001502504
7515465200
oct163521210
963041154
1030319240
1116129326
12a1a1a34
1363873a3
144053400
1529dd72a
hex1cea288

30319240 has 96 divisors (see below), whose sum is σ = 82080000. Its totient is φ = 10039680.

The previous prime is 30319229. The next prime is 30319249. The reversal of 30319240 is 4291303.

It is not an unprimeable number, because it can be changed into a prime (30319249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60511 + ... + 61009.

It is an arithmetic number, because the mean of its divisors is an integer number (855000).

Almost surely, 230319240 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 30319240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040000).

30319240 is an abundant number, since it is smaller than the sum of its proper divisors (51760760).

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

30319240 is a wasteful number, since it uses less digits than its factorization.

30319240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 30319240 is about 5506.2909476344. The cubic root of 30319240 is about 311.8215339208.

The spelling of 30319240 in words is "thirty million, three hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 499 620 868 980 998 1085 1240 1519 1736 1960 1996 2170 2495 3038 3493 3992 4340 4990 6076 6986 7595 8680 9980 12152 13972 15190 15469 17465 19960 24451 27944 30380 30938 34930 48902 60760 61876 69860 77345 97804 108283 122255 123752 139720 154690 195608 216566 244510 309380 433132 489020 541415 618760 757981 866264 978040 1082830 1515962 2165660 3031924 3789905 4331320 6063848 7579810 15159620 30319240