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3242636624 = 242943915919
BaseRepresentation
bin1100000101000110…
…1011010101010000
322100222121000012202
43001101223111100
523120103332444
61253432542332
7143232646043
oct30121532520
98328530182
103242636624
111414424987
12765b519a8
133c8a494c6
1422a926c5a
1513ea2134e
hexc146b550

3242636624 has 40 divisors (see below), whose sum is σ = 6514464000. Its totient is φ = 1561746816.

The previous prime is 3242636609. The next prime is 3242636629. The reversal of 3242636624 is 4266362423.

It is a super-2 number, since 2×32426366242 = 21029384550612234752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242636629) by changing a digit.

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, 195737 + ... + 211655.

It is an arithmetic number, because the mean of its divisors is an integer number (162861600).

Almost surely, 23242636624 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 3242636624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257232000).

3242636624 is an abundant number, since it is smaller than the sum of its proper divisors (3271827376).

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

3242636624 is a wasteful number, since it uses less digits than its factorization.

3242636624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16395 (or 16389 counting only the distinct ones).

The product of its digits is 248832, while the sum is 38.

The square root of 3242636624 is about 56944.1535541622. The cubic root of 3242636624 is about 1480.1285230486.

The spelling of 3242636624 in words is "three billion, two hundred forty-two million, six hundred thirty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 439 464 878 1756 3512 7024 12731 15919 25462 31838 50924 63676 101848 127352 203696 254704 461651 923302 1846604 3693208 6988441 7386416 13976882 27953764 55907528 111815056 202664789 405329578 810659156 1621318312 3242636624