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30324024 = 23332947103
BaseRepresentation
bin111001110101…
…1010100111000
32010001121202000
41303223110320
530230332044
63001541000
7515515143
oct163532470
963047660
1030324024
1116131985
12a1a4760
136389613
14405505a
1529ded69
hex1ceb538

30324024 has 128 divisors (see below), whose sum is σ = 89856000. Its totient is φ = 9459072.

The previous prime is 30324023. The next prime is 30324067. The reversal of 30324024 is 42042303.

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

It is a junction number, because it is equal to n+sod(n) for n = 30323988 and 30324006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30324023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294357 + ... + 294459.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 230324024 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 30324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928000).

30324024 is an abundant number, since it is smaller than the sum of its proper divisors (59531976).

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

30324024 is a wasteful number, since it uses less digits than its factorization.

30324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30324024 is about 5506.7253427060. The cubic root of 30324024 is about 311.8379335817.

Adding to 30324024 its reverse (42042303), we get a palindrome (72366327).

It can be divided in two parts, 3032 and 4024, that added together give a square (7056 = 842).

The spelling of 30324024 in words is "thirty million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 47 54 58 72 87 94 103 108 116 141 174 188 206 216 232 261 282 309 348 376 412 423 522 564 618 696 783 824 846 927 1044 1128 1236 1269 1363 1566 1692 1854 2088 2472 2538 2726 2781 2987 3132 3384 3708 4089 4841 5076 5452 5562 5974 6264 7416 8178 8961 9682 10152 10904 11124 11948 12267 14523 16356 17922 19364 22248 23896 24534 26883 29046 32712 35844 36801 38728 43569 49068 53766 58092 71688 73602 80649 87138 98136 107532 116184 130707 140389 147204 161298 174276 215064 261414 280778 294408 322596 348552 421167 522828 561556 645192 842334 1045656 1123112 1263501 1684668 2527002 3369336 3790503 5054004 7581006 10108008 15162012 30324024