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14928342 = 231113127137
BaseRepresentation
bin111000111100…
…100111010110
31001002102211120
4320330213112
512310201332
61251544410
7240613602
oct70744726
931072746
1014928342
118476980
124bbb106
133128b50
141da8502
15149d32c
hexe3c9d6

14928342 has 64 divisors (see below), whose sum is σ = 35610624. Its totient is φ = 4112640.

The previous prime is 14928341. The next prime is 14928349. The reversal of 14928342 is 24382941.

It is a super-3 number, since 3×149283423 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14928341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108898 + ... + 109034.

It is an arithmetic number, because the mean of its divisors is an integer number (556416).

Almost surely, 214928342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14928342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805312).

14928342 is an abundant number, since it is smaller than the sum of its proper divisors (20682282).

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

14928342 is a wasteful number, since it uses less digits than its factorization.

14928342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293.

The product of its digits is 13824, while the sum is 33.

The square root of 14928342 is about 3863.7212632383. The cubic root of 14928342 is about 246.2278607906.

The spelling of 14928342 in words is "fourteen million, nine hundred twenty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 127 137 143 254 274 286 381 411 429 762 822 858 1397 1507 1651 1781 2794 3014 3302 3562 4191 4521 4953 5343 8382 9042 9906 10686 17399 18161 19591 34798 36322 39182 52197 54483 58773 104394 108966 117546 191389 226187 382778 452374 574167 678561 1148334 1357122 2488057 4976114 7464171 14928342