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3418442016 = 253113237161
BaseRepresentation
bin1100101111000001…
…0100100100100000
322211020101211212120
43023300110210200
524000110121031
61323113024240
7150466164153
oct31360244440
98736354776
103418442016
1114a46920a0
127b49b5080
134262b2072
1424600bc9a
1515019ba96
hexcbc14920

3418442016 has 48 divisors (see below), whose sum is σ = 9789177888. Its totient is φ = 1035891200.

The previous prime is 3418442011. The next prime is 3418442033. The reversal of 3418442016 is 6102448143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3418442011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617525 + ... + 1619636.

It is an arithmetic number, because the mean of its divisors is an integer number (203941206).

Almost surely, 23418442016 is an apocalyptic number.

It is an amenable number.

3418442016 is an abundant number, since it is smaller than the sum of its proper divisors (6370735872).

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

3418442016 is a wasteful number, since it uses less digits than its factorization.

3418442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237185 (or 3237177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3418442016 is about 58467.4440693280. Note that the first 3 decimals coincide. The cubic root of 3418442016 is about 1506.4084365265.

The spelling of 3418442016 in words is "three billion, four hundred eighteen million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3237161 6474322 9711483 12948644 19422966 25897288 35608771 38845932 51794576 71217542 77691864 103589152 106826313 142435084 155383728 213652626 284870168 310767456 427305252 569740336 854610504 1139480672 1709221008 3418442016