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1014314976 = 25323521927
BaseRepresentation
bin111100011101010…
…011011111100000
32121200121112120100
4330131103133200
54034131034401
6244352142400
734064351343
oct7435233740
92550545510
101014314976
11480610944
12243837a00
131321aca9c
14989d645a
155e0acb86
hex3c7537e0

1014314976 has 36 divisors (see below), whose sum is σ = 2884459032. Its totient is φ = 338104896.

The previous prime is 1014314971. The next prime is 1014315041. The reversal of 1014314976 is 6794134101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1014314976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014314971) 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 5 ways as a sum of consecutive naturals, for example, 1760676 + ... + 1761251.

It is an arithmetic number, because the mean of its divisors is an integer number (80123862).

Almost surely, 21014314976 is an apocalyptic number.

1014314976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1014314976 is an abundant number, since it is smaller than the sum of its proper divisors (1870144056).

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

1014314976 is a wasteful number, since it uses less digits than its factorization.

1014314976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521943 (or 3521932 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1014314976 is about 31848.3119803860. The cubic root of 1014314976 is about 1004.7490693044.

The spelling of 1014314976 in words is "one billion, fourteen million, three hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3521927 7043854 10565781 14087708 21131562 28175416 31697343 42263124 56350832 63394686 84526248 112701664 126789372 169052496 253578744 338104992 507157488 1014314976