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3242252440 = 235755720789
BaseRepresentation
bin1100000101000000…
…1101100010011000
322100221212111012201
43001100031202120
523120004034230
61253420415544
7143226456010
oct30120154230
98327774181
103242252440
111414192279
127659a75b4
133c894368b
1422a866c40
1513e9975ca
hexc140d898

3242252440 has 64 divisors (see below), whose sum is σ = 8352590400. Its totient is φ = 1109580288.

The previous prime is 3242252381. The next prime is 3242252443. The reversal of 3242252440 is 442522423.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3242252399 and 3242252408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242252443) 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, 145566 + ... + 166354.

It is an arithmetic number, because the mean of its divisors is an integer number (130509225).

Almost surely, 23242252440 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 3242252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176295200).

3242252440 is an abundant number, since it is smaller than the sum of its proper divisors (5110337960).

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

3242252440 is a wasteful number, since it uses less digits than its factorization.

3242252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21364 (or 21360 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 3242252440 is about 56940.7801140799. The cubic root of 3242252440 is about 1480.0700660766.

Adding to 3242252440 its reverse (442522423), we get a palindrome (3684774863).

The spelling of 3242252440 in words is "three billion, two hundred forty-two million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 557 1114 2228 2785 3899 4456 5570 7798 11140 15596 19495 20789 22280 31192 38990 41578 77980 83156 103945 145523 155960 166312 207890 291046 415780 582092 727615 831560 1164184 1455230 2910460 5820920 11579473 23158946 46317892 57897365 81056311 92635784 115794730 162112622 231589460 324225244 405281555 463178920 648450488 810563110 1621126220 3242252440