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1334302640 = 2451112711939
BaseRepresentation
bin100111110000111…
…1101011110110000
310102222201121010022
41033201331132300
510213040141030
6340222423012
745031246106
oct11741753660
93388647108
101334302640
116251a7360
12312a31a68
131835884b8
14c92cdc76
157c218de5
hex4f87d7b0

1334302640 has 80 divisors (see below), whose sum is σ = 3411210240. Its totient is φ = 481340160.

The previous prime is 1334302639. The next prime is 1334302643. The reversal of 1334302640 is 462034331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13343026402 = 3560727070221939200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334302643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105791 + ... + 117729.

It is an arithmetic number, because the mean of its divisors is an integer number (42640128).

Almost surely, 21334302640 is an apocalyptic number.

1334302640 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 1334302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705605120).

1334302640 is an abundant number, since it is smaller than the sum of its proper divisors (2076907600).

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

1334302640 is a wasteful number, since it uses less digits than its factorization.

1334302640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12090 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 1334302640 is about 36528.1075337883. The cubic root of 1334302640 is about 1100.9090667001.

Adding to 1334302640 its reverse (462034331), we get a palindrome (1796336971).

The spelling of 1334302640 in words is "one billion, three hundred thirty-four million, three hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 11939 13970 22352 23878 27940 47756 55880 59695 95512 111760 119390 131329 191024 238780 262658 477560 525316 656645 955120 1050632 1313290 1516253 2101264 2626580 3032506 5253160 6065012 7581265 10506320 12130024 15162530 16678783 24260048 30325060 33357566 60650120 66715132 83393915 121300240 133430264 166787830 266860528 333575660 667151320 1334302640