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30464532 = 2233759683
BaseRepresentation
bin111010000110…
…1101000010100
32010022202111000
41310031220110
530244331112
63004543300
7516641610
oct164155024
963282430
1030464532
11162184aa
12a251b30
136408567
144090340
152a1b7dc
hex1d0da14

30464532 has 96 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 8544096.

The previous prime is 30464521. The next prime is 30464549. The reversal of 30464532 is 23546403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30464496 and 30464505.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44263 + ... + 44945.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 230464532 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 30464532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

30464532 is an abundant number, since it is smaller than the sum of its proper divisors (61465068).

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

30464532 is a wasteful number, since it uses less digits than its factorization.

30464532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 30464532 is about 5519.4684526682. The cubic root of 30464532 is about 312.3188308824.

It can be divided in two parts, 3046453 and 2, that multiplied together give a palindrome (6092906).

The spelling of 30464532 in words is "thirty million, four hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 683 708 756 826 1062 1239 1366 1593 1652 2049 2124 2478 2732 3186 3717 4098 4781 4956 6147 6372 7434 8196 9562 11151 12294 14343 14868 18441 19124 22302 24588 28686 36882 40297 43029 44604 57372 73764 80594 86058 120891 129087 161188 172116 241782 258174 282079 362673 483564 516348 564158 725346 846237 1088019 1128316 1450692 1692474 2176038 2538711 3384948 4352076 5077422 7616133 10154844 15232266 30464532