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30320316 = 2232131737103
BaseRepresentation
bin111001110101…
…0011010111100
32010001102122200
41303222122330
530230222231
63001511500
7515501265
oct163523274
963042580
1030320316
111612a114
12a1a2590
136387a20
14405396c
1529ddbe6
hex1cea6bc

30320316 has 144 divisors (see below), whose sum is σ = 90627264. Its totient is φ = 8460288.

The previous prime is 30320291. The next prime is 30320317. The reversal of 30320316 is 61302303.

It is a happy number.

30320316 is a `hidden beast` number, since 30 + 320 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294321 + ... + 294423.

It is an arithmetic number, because the mean of its divisors is an integer number (629356).

Almost surely, 230320316 is an apocalyptic number.

30320316 is a gapful number since it is divisible by the number (36) 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 30320316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45313632).

30320316 is an abundant number, since it is smaller than the sum of its proper divisors (60306948).

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

30320316 is a wasteful number, since it uses less digits than its factorization.

30320316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30320316 is about 5506.3886531919. The cubic root of 30320316 is about 311.8252226236.

Adding to 30320316 its reverse (61302303), we get a palindrome (91622619).

The spelling of 30320316 in words is "thirty million, three hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 37 39 51 52 68 74 78 102 103 111 117 148 153 156 204 206 221 222 234 306 309 333 412 442 444 468 481 612 618 629 663 666 884 927 962 1236 1258 1326 1332 1339 1443 1751 1854 1887 1924 1989 2516 2652 2678 2886 3502 3708 3774 3811 3978 4017 4329 5253 5356 5661 5772 7004 7548 7622 7956 8034 8177 8658 10506 11322 11433 12051 15244 15759 16068 16354 17316 21012 22644 22763 22866 24102 24531 31518 32708 34299 45526 45732 48204 49062 49543 63036 64787 68289 68598 73593 91052 98124 99086 129574 136578 137196 147186 148629 194361 198172 204867 259148 273156 294372 297258 388722 409734 445887 583083 594516 777444 819468 842231 891774 1166166 1684462 1783548 2332332 2526693 3368924 5053386 7580079 10106772 15160158 30320316