Search a number
-
+
230305104 = 24329831627
BaseRepresentation
bin11011011101000…
…10110101010000
3121001100201012200
431232202311100
5432424230404
634504123200
75464363311
oct1556426520
9531321180
10230305104
111090016a7
1265166500
1338938113
1422830608
1515343839
hexdba2d50

230305104 has 60 divisors (see below), whose sum is σ = 645586656. Its totient is φ = 76643136.

The previous prime is 230305091. The next prime is 230305111. The reversal of 230305104 is 401503032.

230305104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 140739 + ... + 142365.

Almost surely, 2230305104 is an apocalyptic number.

230305104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230305104 is an abundant number, since it is smaller than the sum of its proper divisors (415281552).

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

230305104 is a wasteful number, since it uses less digits than its factorization.

230305104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230305104 is about 15175.8065354036. The cubic root of 230305104 is about 612.9633680375.

Adding to 230305104 its reverse (401503032), we get a palindrome (631808136).

The spelling of 230305104 in words is "two hundred thirty million, three hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 983 1627 1966 2949 3254 3932 4881 5898 6508 7864 8847 9762 11796 13016 14643 15728 17694 19524 23592 26032 29286 35388 39048 47184 58572 70776 78096 117144 141552 234288 1599341 3198682 4798023 6397364 9596046 12794728 14394069 19192092 25589456 28788138 38384184 57576276 76768368 115152552 230305104