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3634685952 = 21131722389
BaseRepresentation
bin1101100010100100…
…1110100000000000
3100101022022011210020
43120221032200000
524420434422302
61400355533440
7156033215022
oct33051164000
910338264706
103634685952
1115a575a397
128552ba280
1345c035c61
14266a1c012
15164163ebc
hexd8a4e800

3634685952 has 288 divisors, whose sum is σ = 10861905600. Its totient is φ = 1078460416.

The previous prime is 3634685941. The next prime is 3634685953. The reversal of 3634685952 is 2595864363.

It is a super-2 number, since 2×36346859522 = 26421883939332292608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3634685895 and 3634685904.

It is not an unprimeable number, because it can be changed into a prime (3634685953) 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 23 ways as a sum of consecutive naturals, for example, 40839124 + ... + 40839212.

It is an arithmetic number, because the mean of its divisors is an integer number (37714950).

Almost surely, 23634685952 is an apocalyptic number.

3634685952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430952800).

3634685952 is an abundant number, since it is smaller than the sum of its proper divisors (7227219648).

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

3634685952 is a wasteful number, since it uses less digits than its factorization.

3634685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 134 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The square root of 3634685952 is about 60288.3566868429. The cubic root of 3634685952 is about 1537.5253943588.

The spelling of 3634685952 in words is "three billion, six hundred thirty-four million, six hundred eighty-five thousand, nine hundred fifty-two".