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114332976 = 2432793979
BaseRepresentation
bin1101101000010…
…01010100110000
321222010201100200
412310021110300
5213232123401
615202315200
72555546202
oct664112460
9258121320
10114332976
11595a106a
1232358b00
131a8c1664
1411282772
15a086686
hex6d09530

114332976 has 30 divisors (see below), whose sum is σ = 319973940. Its totient is φ = 38110944.

The previous prime is 114332963. The next prime is 114333017. The reversal of 114332976 is 679233411.

It is a super-3 number, since 3×1143329763 (a number of 25 digits) contains 333 as substring.

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 114332976.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 396846 + ... + 397133.

It is an arithmetic number, because the mean of its divisors is an integer number (10665798).

Almost surely, 2114332976 is an apocalyptic number.

114332976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114332976 is an abundant number, since it is smaller than the sum of its proper divisors (205640964).

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

114332976 is a wasteful number, since it uses less digits than its factorization.

114332976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793993 (or 793984 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 114332976 is about 10692.6599122950. The cubic root of 114332976 is about 485.3523864100.

The spelling of 114332976 in words is "one hundred fourteen million, three hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 793979 1587958 2381937 3175916 4763874 6351832 7145811 9527748 12703664 14291622 19055496 28583244 38110992 57166488 114332976