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3426486336 = 263271365371
BaseRepresentation
bin1100110000111100…
…0000100001000000
322211210112112121100
43030033000201000
524004140030321
61324001254400
7150624440040
oct31417004100
98753475540
103426486336
1114a9186999
127b7634400
13427b6a710
14247103720
15150c3a326
hexcc3c0840

3426486336 has 168 divisors, whose sum is σ = 12088067264. Its totient is φ = 903674880.

The previous prime is 3426486311. The next prime is 3426486367. The reversal of 3426486336 is 6336846243.

3426486336 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 4 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×34264863362 = 23481617221589409792, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3426486291 and 3426486300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19731 + ... + 85101.

Almost surely, 23426486336 is an apocalyptic number.

3426486336 is a gapful number since it is divisible by the number (36) 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 3426486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044033632).

3426486336 is an abundant number, since it is smaller than the sum of its proper divisors (8661580928).

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

3426486336 is a wasteful number, since it uses less digits than its factorization.

3426486336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65409 (or 65396 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3426486336 is about 58536.1968016372. The cubic root of 3426486336 is about 1507.5891438420.

The spelling of 3426486336 in words is "three billion, four hundred twenty-six million, four hundred eighty-six thousand, three hundred thirty-six".