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230003604 = 223341127409
BaseRepresentation
bin11011011010110…
…01001110010100
3121000210101122000
431231121032110
5432340103404
634453435300
75461666305
oct1555311624
9530711560
10230003604
11108916126
126503bb30
1338860b0c
14227927ac
15152d4339
hexdb59394

230003604 has 96 divisors (see below), whose sum is σ = 617164800. Its totient is φ = 74027520.

The previous prime is 230003593. The next prime is 230003617. The reversal of 230003604 is 406300032.

230003604 is a `hidden beast` number, since 2 + 300 + 0 + 360 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562152 + ... + 562560.

It is an arithmetic number, because the mean of its divisors is an integer number (6428800).

Almost surely, 2230003604 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 230003604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308582400).

230003604 is an abundant number, since it is smaller than the sum of its proper divisors (387161196).

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

230003604 is a wasteful number, since it uses less digits than its factorization.

230003604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230003604 is about 15165.8697079989. The cubic root of 230003604 is about 612.6957677148.

Adding to 230003604 its reverse (406300032), we get a palindrome (636303636).

The spelling of 230003604 in words is "two hundred thirty million, three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 127 164 246 254 369 381 409 492 508 738 762 818 1107 1143 1227 1476 1524 1636 2214 2286 2454 3429 3681 4428 4572 4908 5207 6858 7362 10414 11043 13716 14724 15621 16769 20828 22086 31242 33538 44172 46863 50307 51943 62484 67076 93726 100614 103886 140589 150921 155829 187452 201228 207772 281178 301842 311658 452763 467487 562356 603684 623316 905526 934974 1402461 1811052 1869948 2129663 2804922 4259326 5609844 6388989 8518652 12777978 19166967 25555956 38333934 57500901 76667868 115001802 230003604