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3227613648 = 24379605993
BaseRepresentation
bin1100000001100001…
…0111100111010000
322022221022202120020
43000120113213100
523102232114043
61252134543440
7142661156220
oct30030274720
98287282506
103227613648
1114069a39a6
12760b07b80
133c58b957c
14228936080
1513d554e83
hexc06179d0

3227613648 has 40 divisors (see below), whose sum is σ = 9529146048. Its totient is φ = 922175232.

The previous prime is 3227613593. The next prime is 3227613661. The reversal of 3227613648 is 8463167223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4802661 + ... + 4803332.

Almost surely, 23227613648 is an apocalyptic number.

It is an amenable number.

3227613648 is an abundant number, since it is smaller than the sum of its proper divisors (6301532400).

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

3227613648 is a wasteful number, since it uses less digits than its factorization.

3227613648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606011 (or 9606005 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 3227613648 is about 56812.0906849942. The cubic root of 3227613648 is about 1477.8391964038.

The spelling of 3227613648 in words is "three billion, two hundred twenty-seven million, six hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 9605993 19211986 28817979 38423972 57635958 67241951 76847944 115271916 134483902 153695888 201725853 230543832 268967804 403451706 461087664 537935608 806903412 1075871216 1613806824 3227613648