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14434290 = 232513373
BaseRepresentation
bin110111000011…
…111111110010
31000011100010100
4313003333302
512143344130
61233213230
7233455323
oct67037762
930140110
1014434290
118169772
124a01216
132cb5000
141cba44a
151401c60
hexdc3ff2

14434290 has 96 divisors (see below), whose sum is σ = 41212080. Its totient is φ = 3504384.

The previous prime is 14434289. The next prime is 14434297. The reversal of 14434290 is 9243441.

It can be written as a sum of positive squares in 8 ways, for example, as 751689 + 13682601 = 867^2 + 3699^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197694 + ... + 197766.

Almost surely, 214434290 is an apocalyptic number.

14434290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606040).

14434290 is an abundant number, since it is smaller than the sum of its proper divisors (26777790).

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

14434290 is a wasteful number, since it uses less digits than its factorization.

14434290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

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

The square root of 14434290 is about 3799.2486099228. The cubic root of 14434290 is about 243.4810366578.

The spelling of 14434290 in words is "fourteen million, four hundred thirty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 73 78 90 117 130 146 169 195 219 234 338 365 390 438 507 585 657 730 845 949 1014 1095 1170 1314 1521 1690 1898 2190 2197 2535 2847 3042 3285 4394 4745 5070 5694 6570 6591 7605 8541 9490 10985 12337 13182 14235 15210 17082 19773 21970 24674 28470 32955 37011 39546 42705 61685 65910 74022 85410 98865 111033 123370 160381 185055 197730 222066 320762 370110 481143 555165 801905 962286 1110330 1443429 1603810 2405715 2886858 4811430 7217145 14434290