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30681612 = 2233132412
BaseRepresentation
bin111010100001…
…0101000001100
32010201210021000
41311002220030
530323302422
63013340300
7521534523
oct165025014
963653230
1030681612
1116356605
12a337690
136483300
1441094ba
152a60cac
hex1d42a0c

30681612 has 108 divisors (see below), whose sum is σ = 88286520. Its totient is φ = 9210240.

The previous prime is 30681611. The next prime is 30681619. The reversal of 30681612 is 21618603.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×306816122 = 1882722629837088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30681611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748312 + ... + 748352.

Almost surely, 230681612 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 30681612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44143260).

30681612 is an abundant number, since it is smaller than the sum of its proper divisors (57604908).

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

30681612 is a wasteful number, since it uses less digits than its factorization.

30681612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30681612 is about 5539.0984826053. The cubic root of 30681612 is about 313.0589021084.

Multiplying 30681612 by its sum of digits (27), we get a square (828403524 = 287822).

30681612 divided by its sum of digits (27) gives a square (1136356 = 10662).

Multiplying 30681612 by its product of nonzero digits (1728), we get a square (53017825536 = 2302562).

It can be divided in two parts, 306 and 81612, that added together give a palindrome (81918).

The spelling of 30681612 in words is "thirty million, six hundred eighty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 169 234 246 338 351 369 468 492 507 533 676 702 738 1014 1066 1107 1404 1476 1521 1599 1681 2028 2132 2214 3042 3198 3362 4428 4563 4797 5043 6084 6396 6724 6929 9126 9594 10086 13858 14391 15129 18252 19188 20172 20787 21853 27716 28782 30258 41574 43706 45387 57564 60516 62361 65559 83148 87412 90774 124722 131118 181548 187083 196677 249444 262236 284089 374166 393354 568178 590031 748332 786708 852267 1136356 1180062 1704534 2360124 2556801 3409068 5113602 7670403 10227204 15340806 30681612