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230336340 = 2235131971499
BaseRepresentation
bin11011011101010…
…10011101010100
3121001102022001120
431232222131110
5432431230330
634504523540
75464553343
oct1556523524
9531368046
10230336340
11109023113
12651805b0
13389493c0
142283bb5a
151534cc10
hexdbaa754

230336340 has 96 divisors (see below), whose sum is σ = 698544000. Its totient is φ = 56372736.

The previous prime is 230336333. The next prime is 230336363. The reversal of 230336340 is 43633032.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 230336340.

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, 152911 + ... + 154409.

It is an arithmetic number, because the mean of its divisors is an integer number (7276500).

Almost surely, 2230336340 is an apocalyptic number.

230336340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230336340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272000).

230336340 is an abundant number, since it is smaller than the sum of its proper divisors (468207660).

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

230336340 is a wasteful number, since it uses less digits than its factorization.

230336340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 230336340 is about 15176.8356385645. The cubic root of 230336340 is about 612.9910786091.

Adding to 230336340 its reverse (43633032), we get a palindrome (273969372).

The spelling of 230336340 in words is "two hundred thirty million, three hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 197 260 390 394 591 780 788 985 1182 1499 1970 2364 2561 2955 2998 3940 4497 5122 5910 5996 7495 7683 8994 10244 11820 12805 14990 15366 17988 19487 22485 25610 29980 30732 38415 38974 44970 51220 58461 76830 77948 89940 97435 116922 153660 194870 233844 292305 295303 389740 584610 590606 885909 1169220 1181212 1476515 1771818 2953030 3543636 3838939 4429545 5906060 7677878 8859090 11516817 15355756 17718180 19194695 23033634 38389390 46067268 57584085 76778780 115168170 230336340