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114214324 = 22747591471
BaseRepresentation
bin1101100111011…
…00010110110100
321221220200121011
412303230112310
5213214324244
615200002004
72554543240
oct663542664
9257820534
10114214324
115951aa04
1232300304
131a87c653
1411251420
15a061434
hex6cec5b4

114214324 has 48 divisors (see below), whose sum is σ = 237404160. Its totient is φ = 47063520.

The previous prime is 114214319. The next prime is 114214349. The reversal of 114214324 is 423412411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114214295 and 114214304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76909 + ... + 78379.

It is an arithmetic number, because the mean of its divisors is an integer number (4945920).

Almost surely, 2114214324 is an apocalyptic number.

114214324 is a gapful number since it is divisible by the number (14) 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 114214324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118702080).

114214324 is an abundant number, since it is smaller than the sum of its proper divisors (123189836).

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

114214324 is a wasteful number, since it uses less digits than its factorization.

114214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 114214324 is about 10687.1101800253. The cubic root of 114214324 is about 485.1844326373.

Adding to 114214324 its reverse (423412411), we get a palindrome (537626735).

The spelling of 114214324 in words is "one hundred fourteen million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 47 59 94 118 188 236 329 413 658 826 1316 1471 1652 2773 2942 5546 5884 10297 11092 19411 20594 38822 41188 69137 77644 86789 138274 173578 276548 347156 483959 607523 967918 1215046 1935836 2430092 4079083 8158166 16316332 28553581 57107162 114214324