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3234443040 = 253252246141
BaseRepresentation
bin1100000011001001…
…1010111100100000
322100102011201201200
43000302122330200
523111004134130
61252541201200
7143103212043
oct30062327440
98312151650
103234443040
11140a838a24
12763260200
133c713ac2a
142297d2c5a
1513de53760
hexc0c9af20

3234443040 has 72 divisors (see below), whose sum is σ = 11037541788. Its totient is φ = 862517760.

The previous prime is 3234443033. The next prime is 3234443059. The reversal of 3234443040 is 403444323.

It can be written as a sum of positive squares in 2 ways, for example, as 3220335504 + 14107536 = 56748^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3234442995 and 3234443013.

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 11 ways as a sum of consecutive naturals, for example, 1121631 + ... + 1124510.

Almost surely, 23234443040 is an apocalyptic number.

3234443040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3234443040 is an abundant number, since it is smaller than the sum of its proper divisors (7803098748).

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

3234443040 is a wasteful number, since it uses less digits than its factorization.

3234443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246162 (or 2246151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3234443040 is about 56872.1640172062. The cubic root of 3234443040 is about 1478.8807949491.

Adding to 3234443040 its reverse (403444323), we get a palindrome (3637887363).

The spelling of 3234443040 in words is "three billion, two hundred thirty-four million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2246141 4492282 6738423 8984564 11230705 13476846 17969128 20215269 22461410 26953692 33692115 35938256 40430538 44922820 53907384 67384230 71876512 80861076 89845640 101076345 107814768 134768460 161722152 179691280 202152690 215629536 269536920 323444304 359382560 404305380 539073840 646888608 808610760 1078147680 1617221520 3234443040