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114453432 = 23333714321
BaseRepresentation
bin1101101001001…
…10101110111000
321222100211121000
412310212232320
5213300002212
615205045000
72556560322
oct664465670
9258324530
10114453432
1159673615
12323b6760
131a934432
14112b4612
15a0ac1dc
hex6d26bb8

114453432 has 64 divisors (see below), whose sum is σ = 326541600. Its totient is φ = 37117440.

The previous prime is 114453421. The next prime is 114453433. The reversal of 114453432 is 234354411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114453396 and 114453405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114453433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832 + ... + 15152.

Almost surely, 2114453432 is an apocalyptic number.

114453432 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 114453432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163270800).

114453432 is an abundant number, since it is smaller than the sum of its proper divisors (212088168).

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

114453432 is a wasteful number, since it uses less digits than its factorization.

114453432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14373 (or 14363 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 114453432 is about 10698.2910784854. The cubic root of 114453432 is about 485.5227749529.

The spelling of 114453432 in words is "one hundred fourteen million, four hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 14321 28642 42963 57284 85926 114568 128889 171852 257778 343704 386667 515556 529877 773334 1031112 1059754 1546668 1589631 2119508 3093336 3179262 4239016 4768893 6358524 9537786 12717048 14306679 19075572 28613358 38151144 57226716 114453432