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30313332 = 22337101397
BaseRepresentation
bin111001110100…
…0101101110100
32010001002002000
41303220231310
530230011312
63001415300
7515442030
oct163505564
963032060
1030313332
1116124945
12a19a530
1363847aa
1440511c0
1529dbadc
hex1ce8b74

30313332 has 96 divisors (see below), whose sum is σ = 90935040. Its totient is φ = 8553600.

The previous prime is 30313331. The next prime is 30313351. The reversal of 30313332 is 23331303.

It is a super-3 number, since 3×303133323 (a number of 23 digits) contains 333 as substring.

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 (30313331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76158 + ... + 76554.

It is an arithmetic number, because the mean of its divisors is an integer number (947240).

Almost surely, 230313332 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 30313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45467520).

30313332 is an abundant number, since it is smaller than the sum of its proper divisors (60621708).

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

30313332 is a wasteful number, since it uses less digits than its factorization.

30313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 30313332 is about 5505.7544442156. The cubic root of 30313332 is about 311.8012787814.

Adding to 30313332 its reverse (23331303), we get a palindrome (53644635).

The spelling of 30313332 in words is "thirty million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 397 404 606 707 756 794 909 1191 1212 1414 1588 1818 2121 2382 2727 2779 2828 3573 3636 4242 4764 5454 5558 6363 7146 8337 8484 10719 10908 11116 12726 14292 16674 19089 21438 25011 25452 33348 38178 40097 42876 50022 75033 76356 80194 100044 120291 150066 160388 240582 280679 300132 360873 481164 561358 721746 842037 1082619 1122716 1443492 1684074 2165238 2526111 3368148 4330476 5052222 7578333 10104444 15156666 30313332