Search a number
-
+
14344720 = 2451321061
BaseRepresentation
bin110110101110…
…001000010000
3222222210020221
4312232020100
512133012340
61231242424
7232633225
oct66561020
928883227
1014344720
118108445
124979414
132c83300
141c9594c
1513d544a
hexdae210

14344720 has 60 divisors (see below), whose sum is σ = 36148356. Its totient is φ = 5291520.

The previous prime is 14344717. The next prime is 14344721. The reversal of 14344720 is 2744341.

It can be written as a sum of positive squares in 6 ways, for example, as 1982464 + 12362256 = 1408^2 + 3516^2 .

It is not an unprimeable number, because it can be changed into a prime (14344721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12990 + ... + 14050.

Almost surely, 214344720 is an apocalyptic number.

14344720 is a gapful number since it is divisible by the number (10) 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 14344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18074178).

14344720 is an abundant number, since it is smaller than the sum of its proper divisors (21803636).

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

14344720 is a wasteful number, since it uses less digits than its factorization.

14344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 14344720 is about 3787.4424088031. The cubic root of 14344720 is about 242.9763619631.

The spelling of 14344720 in words is "fourteen million, three hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1061 1352 1690 2122 2704 3380 4244 5305 6760 8488 10610 13520 13793 16976 21220 27586 42440 55172 68965 84880 110344 137930 179309 220688 275860 358618 551720 717236 896545 1103440 1434472 1793090 2868944 3586180 7172360 14344720