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114453312 = 2631913121
BaseRepresentation
bin1101101001001…
…10101101000000
321222100211102120
412310212231000
5213300001222
615205044240
72556560061
oct664465500
9258324376
10114453312
1159673516
12323b6680
131a93436c
14112b4568
15a0ac15c
hex6d26b40

114453312 has 56 divisors (see below), whose sum is σ = 304507392. Its totient is φ = 37939200.

The previous prime is 114453281. The next prime is 114453323. The reversal of 114453312 is 213354411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35112 + ... + 38232.

It is an arithmetic number, because the mean of its divisors is an integer number (5437632).

Almost surely, 2114453312 is an apocalyptic number.

114453312 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 114453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152253696).

114453312 is an abundant number, since it is smaller than the sum of its proper divisors (190054080).

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

114453312 is a wasteful number, since it uses less digits than its factorization.

114453312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3317 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 114453312 is about 10698.2854701116. The cubic root of 114453312 is about 485.5226052689.

The spelling of 114453312 in words is "one hundred fourteen million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1146 1528 2292 3056 3121 4584 6112 6242 9168 9363 12224 12484 18336 18726 24968 36672 37452 49936 74904 99872 149808 199744 299616 596111 599232 1192222 1788333 2384444 3576666 4768888 7153332 9537776 14306664 19075552 28613328 38151104 57226656 114453312