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58430304 = 2532238821
BaseRepresentation
bin1101111011100…
…1001101100000
311001221120022100
43132321031200
5104424232204
65444210400
71306435512
oct336711540
9131846270
1058430304
112aa89609
1217699a00
13c14a65a
147a8dbb2
1551e2a39
hex37b9360

58430304 has 72 divisors (see below), whose sum is σ = 173405232. Its totient is φ = 18627840.

The previous prime is 58430303. The next prime is 58430311. The reversal of 58430304 is 40303485.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58430303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214 + ... + 11034.

It is an arithmetic number, because the mean of its divisors is an integer number (2408406).

Almost surely, 258430304 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 58430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86702616).

58430304 is an abundant number, since it is smaller than the sum of its proper divisors (114974928).

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

58430304 is a wasteful number, since it uses less digits than its factorization.

58430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 58430304 is about 7643.9717424909. The cubic root of 58430304 is about 388.0425786695.

Adding to 58430304 its reverse (40303485), we get a palindrome (98733789).

The spelling of 58430304 in words is "fifty-eight million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 8821 17642 26463 35284 52926 70568 79389 105852 141136 158778 202883 211704 282272 317556 405766 423408 608649 635112 811532 846816 1217298 1270224 1623064 1825947 2434596 2540448 3246128 3651894 4869192 6492256 7303788 9738384 14607576 19476768 29215152 58430304