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2012434320 = 243513645011
BaseRepresentation
bin111011111110011…
…0100111110010000
312012020202020220110
41313330310332100
513110140344240
6531405241320
7100604260311
oct16774647620
95166666813
102012434320
11942a6a766
12481b63240
13260c0bc50
141513b4608
15bba1bc80
hex77f34f90

2012434320 has 80 divisors (see below), whose sum is σ = 6718444992. Its totient is φ = 495367680.

The previous prime is 2012434301. The next prime is 2012434331. The reversal of 2012434320 is 234342102.

2012434320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319386 + ... + 325625.

Almost surely, 22012434320 is an apocalyptic number.

2012434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012434320 is an abundant number, since it is smaller than the sum of its proper divisors (4706010672).

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

2012434320 is a wasteful number, since it uses less digits than its factorization.

2012434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645040 (or 645034 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2012434320 is about 44860.1640656830. The cubic root of 2012434320 is about 1262.5267010005.

Adding to 2012434320 its reverse (234342102), we get a palindrome (2246776422).

The spelling of 2012434320 in words is "two billion, twelve million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 645011 1290022 1935033 2580044 3225055 3870066 5160088 6450110 7740132 8385143 9675165 10320176 12900220 15480264 16770286 19350330 25155429 25800440 30960528 33540572 38700660 41925715 50310858 51600880 67081144 77401320 83851430 100621716 125777145 134162288 154802640 167702860 201243432 251554290 335405720 402486864 503108580 670811440 1006217160 2012434320