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14257332 = 22322367257
BaseRepresentation
bin110110011000…
…110010110100
3222211100101100
4312120302310
512122213312
61225330100
7232120365
oct66306264
928740340
1014257332
118058821
124936930
132c525bb
141c71b6c
1513b95dc
hexd98cb4

14257332 has 72 divisors (see below), whose sum is σ = 38316096. Its totient is φ = 4460544.

The previous prime is 14257301. The next prime is 14257333. The reversal of 14257332 is 23375241.

14257332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14257296 and 14257305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14257333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55348 + ... + 55604.

It is an arithmetic number, because the mean of its divisors is an integer number (532168).

Almost surely, 214257332 is an apocalyptic number.

14257332 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 14257332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158048).

14257332 is an abundant number, since it is smaller than the sum of its proper divisors (24058764).

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

14257332 is a wasteful number, since it uses less digits than its factorization.

14257332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 14257332 is about 3775.8882398715. Note that the first 3 decimals coincide. The cubic root of 14257332 is about 242.4819528143.

The spelling of 14257332 in words is "fourteen million, two hundred fifty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 257 268 276 402 414 514 603 771 804 828 1028 1206 1541 1542 2313 2412 3082 3084 4623 4626 5911 6164 9246 9252 11822 13869 17219 17733 18492 23644 27738 34438 35466 51657 53199 55476 68876 70932 103314 106398 154971 206628 212796 309942 396037 619884 792074 1188111 1584148 2376222 3564333 4752444 7128666 14257332