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1334206080 = 2735523373
BaseRepresentation
bin100111110000110…
…0101111010000000
310102222112200200000
41033201211322000
510213024043310
6340220400000
745030364434
oct11741457200
93388480600
101334206080
11625140859
123129a6000
1318355356c
14c92a69c4
157c1ea4c0
hex4f865e80

1334206080 has 384 divisors, whose sum is σ = 4998913920. Its totient is φ = 339406848.

The previous prime is 1334206079. The next prime is 1334206099. The reversal of 1334206080 is 806024331.

It is a happy number.

1334206080 is a `hidden beast` number, since 1 + 3 + 34 + 20 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576774 + ... + 3577146.

It is an arithmetic number, because the mean of its divisors is an integer number (13018005).

Almost surely, 21334206080 is an apocalyptic number.

1334206080 is a gapful number since it is divisible by the number (10) 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 1334206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499456960).

1334206080 is an abundant number, since it is smaller than the sum of its proper divisors (3664707840).

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

1334206080 is an equidigital number, since it uses as much as digits as its factorization.

1334206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1334206080 is about 36526.7857879666. The cubic root of 1334206080 is about 1100.8825094207.

The spelling of 1334206080 in words is "one billion, three hundred thirty-four million, two hundred six thousand, eighty".