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1334227320 = 2332517311701
BaseRepresentation
bin100111110000110…
…1011000101111000
310102222120202210200
41033201223011320
510213030233240
6340221042200
745030513366
oct11741530570
93388522720
101334227320
11625155808
123129b6360
1318356012a
14c92b0636
157c201930
hex4f86b178

1334227320 has 192 divisors, whose sum is σ = 4612645440. Its totient is φ = 333312000.

The previous prime is 1334227313. The next prime is 1334227339. The reversal of 1334227320 is 237224331.

1334227320 is a `hidden beast` number, since 1 + 334 + 2 + 2 + 7 + 320 = 666.

1334227320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1902970 + ... + 1903670.

It is an arithmetic number, because the mean of its divisors is an integer number (24024195).

Almost surely, 21334227320 is an apocalyptic number.

1334227320 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 1334227320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306322720).

1334227320 is an abundant number, since it is smaller than the sum of its proper divisors (3278418120).

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

1334227320 is a wasteful number, since it uses less digits than its factorization.

1334227320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 1334227320 is about 36527.0765323479. The cubic root of 1334227320 is about 1100.8883512520. Note that the first 3 decimals are identical.

The spelling of 1334227320 in words is "one billion, three hundred thirty-four million, two hundred twenty-seven thousand, three hundred twenty".