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114328332 = 223217892099
BaseRepresentation
bin1101101000010…
…00001100001100
321222010110222200
412310020030030
5213232001312
615202241500
72555526516
oct664101414
9258113880
10114328332
1159598628
1232356290
131a8bc501
1411280bb6
15a0850dc
hex6d0830c

114328332 has 72 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 35447808.

The previous prime is 114328327. The next prime is 114328343. The reversal of 114328332 is 233823411.

114328332 is a `hidden beast` number, since 1 + 1 + 4 + 328 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114328296 and 114328305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53419 + ... + 55517.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2114328332 is an apocalyptic number.

114328332 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 114328332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

114328332 is an abundant number, since it is smaller than the sum of its proper divisors (195253668).

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

114328332 is a wasteful number, since it uses less digits than its factorization.

114328332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2210 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114328332 is about 10692.4427517757. The cubic root of 114328332 is about 485.3458149405.

The spelling of 114328332 in words is "one hundred fourteen million, three hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 89 102 153 178 204 267 306 356 534 612 801 1068 1513 1602 2099 3026 3204 4198 4539 6052 6297 8396 9078 12594 13617 18156 18891 25188 27234 35683 37782 54468 71366 75564 107049 142732 186811 214098 321147 373622 428196 560433 642294 747244 1120866 1284588 1681299 2241732 3175787 3362598 6351574 6725196 9527361 12703148 19054722 28582083 38109444 57164166 114328332