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30004464 = 2437212757
BaseRepresentation
bin111001001110…
…1010011110000
32002110101101110
41302131103300
530140120324
62551033320
7513014400
oct162352360
962411343
1030004464
1115a33886
12a06b840
1362a7029
143db0800
15297a329
hex1c9d4f0

30004464 has 60 divisors (see below), whose sum is σ = 90173544. Its totient is φ = 8572032.

The previous prime is 30004463. The next prime is 30004483. The reversal of 30004464 is 46440003.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 30004464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30004463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4027 + ... + 8730.

Almost surely, 230004464 is an apocalyptic number.

It is an amenable number.

30004464 is an abundant number, since it is smaller than the sum of its proper divisors (60169080).

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

30004464 is a wasteful number, since it uses less digits than its factorization.

30004464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30004464 is about 5477.6330654764. The cubic root of 30004464 is about 310.7386617042.

Adding to 30004464 its reverse (46440003), we get a palindrome (76444467).

The spelling of 30004464 in words is "thirty million, four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 12757 25514 38271 51028 76542 89299 102056 153084 178598 204112 267897 306168 357196 535794 612336 625093 714392 1071588 1250186 1428784 1875279 2143176 2500372 3750558 4286352 5000744 7501116 10001488 15002232 30004464