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2343263664 = 24376973999
BaseRepresentation
bin1000101110101011…
…0101110110110000
320001022021010110010
42023222311312300
514244333414124
61024304134520
7112032261330
oct21352656660
96038233403
102343263664
11aa2790745
12554907440
132b4612361
141832d10c0
15daaba529
hex8bab5db0

2343263664 has 40 divisors (see below), whose sum is σ = 6918208000. Its totient is φ = 669503808.

The previous prime is 2343263651. The next prime is 2343263669. The reversal of 2343263664 is 4663623432.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2343263669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3486664 + ... + 3487335.

It is an arithmetic number, because the mean of its divisors is an integer number (172955200).

Almost surely, 22343263664 is an apocalyptic number.

2343263664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2343263664 is an abundant number, since it is smaller than the sum of its proper divisors (4574944336).

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

2343263664 is a wasteful number, since it uses less digits than its factorization.

2343263664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974017 (or 6974011 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

The square root of 2343263664 is about 48407.2687103910. The cubic root of 2343263664 is about 1328.2313279461.

The spelling of 2343263664 in words is "two billion, three hundred forty-three million, two hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6973999 13947998 20921997 27895996 41843994 48817993 55791992 83687988 97635986 111583984 146453979 167375976 195271972 292907958 334751952 390543944 585815916 781087888 1171631832 2343263664