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230401040 = 2456414493
BaseRepresentation
bin11011011101110…
…10010000010000
3121001112120210212
431232322100100
5432440313130
634510143252
75465243102
oct1556722020
9531476725
10230401040
11109067791
12651b1b28
133896c99c
1422857572
1515361e95
hexdbba410

230401040 has 40 divisors (see below), whose sum is σ = 536637528. Its totient is φ = 91996160.

The previous prime is 230401013. The next prime is 230401057. The reversal of 230401040 is 40104032.

It can be written as a sum of positive squares in 4 ways, for example, as 145540096 + 84860944 = 12064^2 + 9212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49034 + ... + 53526.

Almost surely, 2230401040 is an apocalyptic number.

230401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230401040 is an abundant number, since it is smaller than the sum of its proper divisors (306236488).

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

230401040 is a wasteful number, since it uses less digits than its factorization.

230401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 230401040 is about 15178.9670267775. The cubic root of 230401040 is about 613.0484683230.

Adding to 230401040 its reverse (40104032), we get a palindrome (270505072).

The spelling of 230401040 in words is "two hundred thirty million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 1282 2564 3205 4493 5128 6410 8986 10256 12820 17972 22465 25640 35944 44930 51280 71888 89860 179720 359440 2880013 5760026 11520052 14400065 23040104 28800130 46080208 57600260 115200520 230401040