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1334231040 = 214356189
BaseRepresentation
bin100111110000110…
…1100000000000000
310102222120221220110
41033201230000000
510213030343130
6340221111320
745030530262
oct11741540000
93388527813
101334231040
1162515858a
123129b8540
13183561a2c
14c92b1b32
157c202ab0
hex4f86c000

1334231040 has 240 divisors, whose sum is σ = 4388156640. Its totient is φ = 346030080.

The previous prime is 1334231027. The next prime is 1334231051. The reversal of 1334231040 is 401324331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1334230998 and 1334231016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14991316 + ... + 14991404.

It is an arithmetic number, because the mean of its divisors is an integer number (18283986).

Almost surely, 21334231040 is an apocalyptic number.

1334231040 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 1334231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194078320).

1334231040 is an abundant number, since it is smaller than the sum of its proper divisors (3053925600).

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

1334231040 is an frugal number, since it uses more digits than its factorization.

1334231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1334231040 is about 36527.1274534421. The cubic root of 1334231040 is about 1100.8893743912.

Adding to 1334231040 its reverse (401324331), we get a palindrome (1735555371).

The spelling of 1334231040 in words is "one billion, three hundred thirty-four million, two hundred thirty-one thousand, forty".