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3426111360 = 273257261199
BaseRepresentation
bin1100110000110110…
…0100111110000000
322211202211111020100
43030031210332000
524004041030420
61323545242400
7150621315600
oct31415447600
98752744210
103426111360
1114a8a501a1
127b7493400
13427a68b39
14247046c00
15150bb4190
hexcc364f80

3426111360 has 576 divisors, whose sum is σ = 14058252000. Its totient is φ = 766402560.

The previous prime is 3426111347. The next prime is 3426111361. The reversal of 3426111360 is 631116243.

3426111360 is a `hidden beast` number, since 3 + 42 + 611 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×34261113602 = 23476478102242099200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426111361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17216541 + ... + 17216739.

Almost surely, 23426111360 is an apocalyptic number.

3426111360 is a gapful number since it is divisible by the number (30) 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 3426111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029126000).

3426111360 is an abundant number, since it is smaller than the sum of its proper divisors (10632140640).

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

3426111360 is a wasteful number, since it uses less digits than its factorization.

3426111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3426111360 is about 58532.9937727432. The cubic root of 3426111360 is about 1507.5341477212.

The spelling of 3426111360 in words is "three billion, four hundred twenty-six million, one hundred eleven thousand, three hundred sixty".