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114350412 = 223117311867
BaseRepresentation
bin1101101000011…
…01100101001100
321222011121021110
412310031211030
5213233203122
615202532020
72555651061
oct664154514
9258147243
10114350412
1159603180
1232367010
131a8c9587
1411288c68
15a08b90c
hex6d0d94c

114350412 has 48 divisors (see below), whose sum is σ = 295085952. Its totient is φ = 34174080.

The previous prime is 114350407. The next prime is 114350443. The reversal of 114350412 is 214053411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3703 + ... + 15569.

It is an arithmetic number, because the mean of its divisors is an integer number (6147624).

Almost surely, 2114350412 is an apocalyptic number.

114350412 is a gapful number since it is divisible by the number (12) 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 114350412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147542976).

114350412 is an abundant number, since it is smaller than the sum of its proper divisors (180735540).

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

114350412 is a wasteful number, since it uses less digits than its factorization.

114350412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11958 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114350412 is about 10693.4752068726. The cubic root of 114350412 is about 485.3770575485.

The spelling of 114350412 in words is "one hundred fourteen million, three hundred fifty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 11867 23734 35601 47468 71202 130537 142404 261074 391611 522148 783222 866291 1566444 1732582 2598873 3465164 5197746 9529201 10395492 19058402 28587603 38116804 57175206 114350412