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30112614 = 2337294167
BaseRepresentation
bin111001011011…
…1101101100110
32002122212202000
41302313231212
530202100424
62553230130
7513644610
oct162675546
962585660
1030112614
1115aa8064
12a102346
13631431c
143ddbdb0
15299c3c9
hex1cb7b66

30112614 has 128 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 7983360.

The previous prime is 30112613. The next prime is 30112619. The reversal of 30112614 is 41621103.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30112613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449409 + ... + 449475.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 230112614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

30112614 is an abundant number, since it is smaller than the sum of its proper divisors (52140186).

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

30112614 is a wasteful number, since it uses less digits than its factorization.

30112614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30112614 is about 5487.4961503403. The cubic root of 30112614 is about 311.1115627639. Note that the first 3 decimals are identical.

Adding to 30112614 its reverse (41621103), we get a palindrome (71733717).

It can be divided in two parts, 3011 and 2614, that added together give a square (5625 = 752).

The spelling of 30112614 in words is "thirty million, one hundred twelve thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 67 82 87 123 126 134 174 189 201 203 246 261 287 369 378 402 406 469 522 574 603 609 738 783 861 938 1107 1189 1206 1218 1407 1566 1722 1809 1827 1943 2214 2378 2583 2747 2814 3567 3618 3654 3886 4221 5166 5481 5494 5829 7134 7749 8241 8323 8442 10701 10962 11658 12663 13601 15498 16482 16646 17487 19229 21402 24723 24969 25326 27202 32103 34974 38458 40803 49446 49938 52461 57687 64206 74169 74907 79663 81606 104922 115374 122409 148338 149814 159326 173061 224721 238989 244818 346122 367227 449442 477978 519183 557641 716967 734454 1038366 1115282 1433934 1672923 2150901 3345846 4301802 5018769 10037538 15056307 30112614