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3232243040 = 255133741999
BaseRepresentation
bin1100000010101000…
…0001110101100000
322100021000221220012
43000222001311200
523104423234130
61252422104052
7143045420045
oct30052016540
98307027805
103232243040
111409576044
1276257b028
133c684a760
142293bd1cc
1513db6b995
hexc0a81d60

3232243040 has 96 divisors (see below), whose sum is σ = 8446032000. Its totient is φ = 1161160704.

The previous prime is 3232243037. The next prime is 3232243057. The reversal of 3232243040 is 403422323.

It is a junction number, because it is equal to n+sod(n) for n = 3232242997 and 3232243015.

It is a congruent number.

It is an unprimeable number.

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, 55961 + ... + 97959.

It is an arithmetic number, because the mean of its divisors is an integer number (87979500).

Almost surely, 23232243040 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 3232243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016000).

3232243040 is an abundant number, since it is smaller than the sum of its proper divisors (5213788960).

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

3232243040 is a wasteful number, since it uses less digits than its factorization.

3232243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42064 (or 42056 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3232243040 is about 56852.8191033655. The cubic root of 3232243040 is about 1478.5454177141.

Adding to 3232243040 its reverse (403422323), we get a palindrome (3635665363).

The spelling of 3232243040 in words is "three billion, two hundred thirty-two million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 185 208 260 296 370 416 481 520 592 740 962 1040 1184 1480 1924 2080 2405 2960 3848 4810 5920 7696 9620 15392 19240 38480 41999 76960 83998 167996 209995 335992 419990 545987 671984 839980 1091974 1343968 1553963 1679960 2183948 2729935 3107926 3359920 4367896 5459870 6215852 6719840 7769815 8735792 10919740 12431704 15539630 17471584 20201519 21839480 24863408 31079260 40403038 43678960 49726816 62158520 80806076 87357920 101007595 124317040 161612152 202015190 248634080 323224304 404030380 646448608 808060760 1616121520 3232243040