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1334101314 = 237132443409
BaseRepresentation
bin100111110000100…
…1100010101000010
310102222100100221210
41033201030111002
510213012220224
6340214230550
745026450130
oct11741142502
93388310853
101334101314
1162507a077
12312955456
13183517980
14c927a750
157c1c9429
hex4f84c542

1334101314 has 32 divisors (see below), whose sum is σ = 3283943040. Its totient is φ = 351850752.

The previous prime is 1334101313. The next prime is 1334101339. The reversal of 1334101314 is 4131014331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1334101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221159 + ... + 1222250.

It is an arithmetic number, because the mean of its divisors is an integer number (102623220).

Almost surely, 21334101314 is an apocalyptic number.

1334101314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1334101314 is an abundant number, since it is smaller than the sum of its proper divisors (1949841726).

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

1334101314 is a wasteful number, since it uses less digits than its factorization.

1334101314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443434.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1334101314 is about 36525.3516615515. The cubic root of 1334101314 is about 1100.8536937633.

Adding to 1334101314 its reverse (4131014331), we get a palindrome (5465115645).

The spelling of 1334101314 in words is "one billion, three hundred thirty-four million, one hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 2443409 4886818 7330227 14660454 17103863 31764317 34207726 51311589 63528634 95292951 102623178 190585902 222350219 444700438 667050657 1334101314