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1214334976 = 211312617
BaseRepresentation
bin100100001100001…
…0100100000000000
310010121222121102111
41020120110200000
54441332204401
6320255225104
742043451131
oct11030244000
93117877374
101214334976
11573507928
1229a818194
1316477320a
14b73c1c88
157191ce51
hex48614800

1214334976 has 72 divisors (see below), whose sum is σ = 2512995030. Its totient is φ = 586629120.

The previous prime is 1214334971. The next prime is 1214334977. The reversal of 1214334976 is 6794334121.

It can be written as a sum of positive squares in only one way, i.e., 1205478400 + 8856576 = 34720^2 + 2976^2 .

It is not an unprimeable number, because it can be changed into a prime (1214334971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1967820 + ... + 1968436.

Almost surely, 21214334976 is an apocalyptic number.

1214334976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214334976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256497515).

1214334976 is an abundant number, since it is smaller than the sum of its proper divisors (1298660054).

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

1214334976 is an frugal number, since it uses more digits than its factorization.

1214334976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 650 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 1214334976 is about 34847.3094513766. The cubic root of 1214334976 is about 1066.8732710910.

The spelling of 1214334976 in words is "one billion, two hundred fourteen million, three hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 617 961 992 1024 1234 1922 1984 2048 2468 3844 3968 4936 7688 7936 9872 15376 15872 19127 19744 30752 31744 38254 39488 61504 63488 76508 78976 123008 153016 157952 246016 306032 315904 492032 592937 612064 631808 984064 1185874 1224128 1263616 1968128 2371748 2448256 4743496 4896512 9486992 9793024 18973984 19586048 37947968 39172096 75895936 151791872 303583744 607167488 1214334976