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3813020032 = 27171752307
BaseRepresentation
bin1110001101000110…
…0001000110000000
3100211201212111011011
43203101201012000
530302113120112
61430210130304
7163330064323
oct34321410600
910751774134
103813020032
111687394428
128a4b80994
13489c75793
142825a07ba
15174b3daa7
hexe3461180

3813020032 has 32 divisors (see below), whose sum is σ = 8043093720. Its totient is φ = 1794361344.

The previous prime is 3813020011. The next prime is 3813020033. The reversal of 3813020032 is 2300203183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3813019985 and 3813020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813020033) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 873978 + ... + 878329.

Almost surely, 23813020032 is an apocalyptic number.

3813020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3813020032 is an abundant number, since it is smaller than the sum of its proper divisors (4230073688).

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

3813020032 is a wasteful number, since it uses less digits than its factorization.

3813020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752338 (or 1752326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3813020032 is about 61749.6561285972. The cubic root of 3813020032 is about 1562.2709681325.

The spelling of 3813020032 in words is "three billion, eight hundred thirteen million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 1752307 3504614 7009228 14018456 28036912 29789219 56073824 59578438 112147648 119156876 224295296 238313752 476627504 953255008 1906510016 3813020032