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30031232 = 277112277
BaseRepresentation
bin111001010001…
…1110110000000
32002111202002212
41302203312000
530141444412
62551401252
7513155420
oct162436600
962452085
1030031232
1115a51a00
12a083228
1362b627a
143dba480
152983222
hex1ca3d80

30031232 has 96 divisors (see below), whose sum is σ = 75426960. Its totient is φ = 11658240.

The previous prime is 30031223. The next prime is 30031237. The reversal of 30031232 is 23213003.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30031237) 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 11 ways as a sum of consecutive naturals, for example, 108278 + ... + 108554.

Almost surely, 230031232 is an apocalyptic number.

30031232 is a gapful number since it is divisible by the number (32) 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 30031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37713480).

30031232 is an abundant number, since it is smaller than the sum of its proper divisors (45395728).

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

30031232 is a wasteful number, since it uses less digits than its factorization.

30031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 30031232 is about 5480.0759118830. The cubic root of 30031232 is about 310.8310410713.

Adding to 30031232 its reverse (23213003), we get a palindrome (53244235).

The spelling of 30031232 in words is "thirty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 277 308 352 448 484 554 616 704 847 896 968 1108 1232 1408 1694 1936 1939 2216 2464 3047 3388 3872 3878 4432 4928 6094 6776 7744 7756 8864 9856 12188 13552 15488 15512 17728 21329 24376 27104 31024 33517 35456 42658 48752 54208 62048 67034 85316 97504 108416 124096 134068 170632 195008 234619 248192 268136 341264 390016 469238 536272 682528 938476 1072544 1365056 1876952 2145088 2730112 3753904 4290176 7507808 15015616 30031232