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1334340240 = 243519328807
BaseRepresentation
bin100111110001000…
…0110101010010000
310102222210111200220
41033202012222100
510213042341430
6340223313040
745031463532
oct11742065220
93388714626
101334340240
11625222632
12312a4b780
1318359c64c
14c92dd852
157c225110
hex4f886a90

1334340240 has 80 divisors (see below), whose sum is σ = 4158031488. Its totient is φ = 353968128.

The previous prime is 1334340233. The next prime is 1334340263. The reversal of 1334340240 is 420434331.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1334340240.

It is an unprimeable number.

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, 31917 + ... + 60723.

Almost surely, 21334340240 is an apocalyptic number.

1334340240 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 1334340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079015744).

1334340240 is an abundant number, since it is smaller than the sum of its proper divisors (2823691248).

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

1334340240 is a wasteful number, since it uses less digits than its factorization.

1334340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29016 (or 29010 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1334340240 is about 36528.6222023224. The cubic root of 1334340240 is about 1100.9194076304.

Adding to 1334340240 its reverse (420434331), we get a palindrome (1754774571).

The spelling of 1334340240 in words is "one billion, three hundred thirty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 7720 9264 11580 15440 23160 28807 46320 57614 86421 115228 144035 172842 230456 288070 345684 432105 460912 576140 691368 864210 1152280 1382736 1728420 2304560 3456840 5559751 6913680 11119502 16679253 22239004 27798755 33358506 44478008 55597510 66717012 83396265 88956016 111195020 133434024 166792530 222390040 266868048 333585060 444780080 667170120 1334340240