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30524112 = 24321737337
BaseRepresentation
bin111010001110…
…0001011010000
32010102210012200
41310130023100
530303232422
63010123200
7520310403
oct164341320
963383180
1030524112
1116259243
12a280500
136429708
1440a7d3a
152a2e2ac
hex1d1c2d0

30524112 has 120 divisors (see below), whose sum is σ = 93170376. Its totient is φ = 9289728.

The previous prime is 30524111. The next prime is 30524113. The reversal of 30524112 is 21142503.

30524112 is a `hidden beast` number, since 30 + 524 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (30524111) and next prime (30524113).

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 19395216 = 3336^2 + 4404^2 .

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 (30524111) 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, 90408 + ... + 90744.

Almost surely, 230524112 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 30524112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46585188).

30524112 is an abundant number, since it is smaller than the sum of its proper divisors (62646264).

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

30524112 is a wasteful number, since it uses less digits than its factorization.

30524112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30524112 is about 5524.8630752264. The cubic root of 30524112 is about 312.5223007019.

Adding to 30524112 its reverse (21142503), we get a palindrome (51666615).

The spelling of 30524112 in words is "thirty million, five hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 337 408 444 592 612 629 666 674 816 888 1011 1224 1258 1332 1348 1776 1887 2022 2448 2516 2664 2696 3033 3774 4044 5032 5328 5392 5661 5729 6066 7548 8088 10064 11322 11458 12132 12469 15096 16176 17187 22644 22916 24264 24938 30192 34374 37407 45288 45832 48528 49876 51561 68748 74814 90576 91664 99752 103122 112221 137496 149628 199504 206244 211973 224442 274992 299256 412488 423946 448884 598512 635919 824976 847892 897768 1271838 1695784 1795536 1907757 2543676 3391568 3815514 5087352 7631028 10174704 15262056 30524112