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1334487420 = 22335717191093
BaseRepresentation
bin100111110001010…
…1010100101111100
310110000001222121000
41033202222211330
510213112044140
6340230410300
745032645610
oct11742524574
93400058530
101334487420
11625313172
12312b00990
13183621636
14c933b340
157c253a30
hex4f8aa97c

1334487420 has 384 divisors, whose sum is σ = 5293209600. Its totient is φ = 271724544.

The previous prime is 1334487389. The next prime is 1334487421. The reversal of 1334487420 is 247844331.

1334487420 is a `hidden beast` number, since 133 + 4 + 487 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334487421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1220394 + ... + 1221486.

It is an arithmetic number, because the mean of its divisors is an integer number (13784400).

Almost surely, 21334487420 is an apocalyptic number.

1334487420 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 1334487420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646604800).

1334487420 is an abundant number, since it is smaller than the sum of its proper divisors (3958722180).

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

1334487420 is a wasteful number, since it uses less digits than its factorization.

1334487420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1334487420 is about 36530.6367313793. The cubic root of 1334487420 is about 1100.9598839039.

The spelling of 1334487420 in words is "one billion, three hundred thirty-four million, four hundred eighty-seven thousand, four hundred twenty".