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2343114240 = 2935305093
BaseRepresentation
bin1000101110101001…
…0001011000000000
320001021222112110220
42023222101120000
514244314123430
61024301023040
7112031066565
oct21352213000
96037875426
102343114240
11aa2699455
12554854a80
132b458c33c
1418329286c
15daa8b110
hex8ba91600

2343114240 has 80 divisors (see below), whose sum is σ = 7490667888. Its totient is φ = 624828416.

The previous prime is 2343114227. The next prime is 2343114253. The reversal of 2343114240 is 424113432.

It is an interprime number because it is at equal distance from previous prime (2343114227) and next prime (2343114253).

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

It is a super-3 number, since 3×23431142403 (a number of 29 digits) contains 333 as substring.

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 2343114240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144867 + ... + 160226.

Almost surely, 22343114240 is an apocalyptic number.

2343114240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343114240 is an abundant number, since it is smaller than the sum of its proper divisors (5147553648).

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

2343114240 is an equidigital number, since it uses as much as digits as its factorization.

2343114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305119 (or 305103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2343114240 is about 48405.7252812103. The cubic root of 2343114240 is about 1328.2030946946.

Adding to 2343114240 its reverse (424113432), we get a palindrome (2767227672).

The spelling of 2343114240 in words is "two billion, three hundred forty-three million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 305093 610186 915279 1220372 1525465 1830558 2440744 3050930 3661116 4576395 4881488 6101860 7322232 9152790 9762976 12203720 14644464 18305580 19525952 24407440 29288928 36611160 39051904 48814880 58577856 73222320 78103808 97629760 117155712 146444640 156207616 195259520 234311424 292889280 390519040 468622848 585778560 781038080 1171557120 2343114240