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1334234016 = 25324632757
BaseRepresentation
bin100111110000110…
…1100101110100000
310102222121002222200
41033201230232200
510213030442031
6340221133200
745030542043
oct11741545640
93388532880
101334234016
1162515a845
123129ba200
131835631ab
14c92b2c5a
157c2038e6
hex4f86cba0

1334234016 has 36 divisors (see below), whose sum is σ = 3794228802. Its totient is φ = 444744576.

The previous prime is 1334234009. The next prime is 1334234021. The reversal of 1334234016 is 6104324331.

It can be written as a sum of positive squares in only one way, i.e., 1326416400 + 7817616 = 36420^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2316091 + ... + 2316666.

Almost surely, 21334234016 is an apocalyptic number.

1334234016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1334234016 is an abundant number, since it is smaller than the sum of its proper divisors (2459994786).

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

1334234016 is a wasteful number, since it uses less digits than its factorization.

1334234016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632773 (or 4632762 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1334234016 is about 36527.1681902663. The cubic root of 1334234016 is about 1100.8901929012.

Adding to 1334234016 its reverse (6104324331), we get a palindrome (7438558347).

The spelling of 1334234016 in words is "one billion, three hundred thirty-four million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4632757 9265514 13898271 18531028 27796542 37062056 41694813 55593084 74124112 83389626 111186168 148248224 166779252 222372336 333558504 444744672 667117008 1334234016