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3230013040 = 245294213307
BaseRepresentation
bin1100000010000110…
…0001011001110000
322100002211122220121
43000201201121300
523103340404130
61252302220024
7143020441432
oct30041413160
98302748817
103230013040
111408292671
12761884614
133c6249727
14228d9c652
1513d87ad7a
hexc0861670

3230013040 has 80 divisors (see below), whose sum is σ = 7789546080. Its totient is φ = 1244113920.

The previous prime is 3230012993. The next prime is 3230013043. The reversal of 3230013040 is 403100323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230013043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975067 + ... + 978373.

It is an arithmetic number, because the mean of its divisors is an integer number (97369326).

Almost surely, 23230013040 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 3230013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894773040).

3230013040 is an abundant number, since it is smaller than the sum of its proper divisors (4559533040).

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

3230013040 is a wasteful number, since it uses less digits than its factorization.

3230013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3230013040 is about 56833.2036753164. The cubic root of 3230013040 is about 1478.2053118090.

Adding to 3230013040 its reverse (403100323), we get a palindrome (3633113363).

It can be divided in two parts, 323001 and 3040, that added together give a square (326041 = 5712).

The spelling of 3230013040 in words is "three billion, two hundred thirty million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 421 464 580 842 1160 1684 2105 2320 3307 3368 4210 6614 6736 8420 12209 13228 16535 16840 24418 26456 33070 33680 48836 52912 61045 66140 95903 97672 122090 132280 191806 195344 244180 264560 383612 479515 488360 767224 959030 976720 1392247 1534448 1918060 2784494 3836120 5568988 6961235 7672240 11137976 13922470 22275952 27844940 40375163 55689880 80750326 111379760 161500652 201875815 323001304 403751630 646002608 807503260 1615006520 3230013040