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30234432 = 2631759157
BaseRepresentation
bin111001101010…
…1011101000000
32002220001211210
41303111131000
530220000212
63000010120
7514663014
oct163253500
962801753
1030234432
1116080638
12a160940
1363578c7
144030544
1529c353c
hex1cd5740

30234432 has 112 divisors (see below), whose sum is σ = 86685120. Its totient is φ = 9265152.

The previous prime is 30234389. The next prime is 30234437. The reversal of 30234432 is 23443203.

It is a junction number, because it is equal to n+sod(n) for n = 30234399 and 30234408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30234437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192498 + ... + 192654.

Almost surely, 230234432 is an apocalyptic number.

30234432 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 30234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43342560).

30234432 is an abundant number, since it is smaller than the sum of its proper divisors (56450688).

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

30234432 is a wasteful number, since it uses less digits than its factorization.

30234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 30234432 is about 5498.5845451352. The cubic root of 30234432 is about 311.5305233718.

Adding to 30234432 its reverse (23443203), we get a palindrome (53677635).

The spelling of 30234432 in words is "thirty million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 136 157 177 192 204 236 272 314 354 408 471 472 544 628 708 816 942 944 1003 1088 1256 1416 1632 1884 1888 2006 2512 2669 2832 3009 3264 3768 3776 4012 5024 5338 5664 6018 7536 8007 8024 9263 10048 10676 11328 12036 15072 16014 16048 18526 21352 24072 27789 30144 32028 32096 37052 42704 48144 55578 64056 64192 74104 85408 96288 111156 128112 148208 157471 170816 192576 222312 256224 296416 314942 444624 472413 512448 592832 629884 889248 944826 1259768 1778496 1889652 2519536 3779304 5039072 7558608 10078144 15117216 30234432