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14834484 = 2232737243
BaseRepresentation
bin111000100101…
…101100110100
31000220200002100
4320211230310
512244200414
61245542100
7240043140
oct70455464
930820070
1014834484
118412405
124b74930
1330c5202
141d82220
151480609
hexe25b34

14834484 has 108 divisors (see below), whose sum is σ = 45069024. Its totient is φ = 4027968.

The previous prime is 14834437. The next prime is 14834509. The reversal of 14834484 is 48443841.

14834484 is a `hidden beast` number, since 148 + 34 + 484 = 666.

14834484 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344967 + ... + 345009.

Almost surely, 214834484 is an apocalyptic number.

14834484 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 14834484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534512).

14834484 is an abundant number, since it is smaller than the sum of its proper divisors (30234540).

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

14834484 is a wasteful number, since it uses less digits than its factorization.

14834484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 14834484 is about 3851.5560491832. The cubic root of 14834484 is about 245.7107446887.

The spelling of 14834484 in words is "fourteen million, eight hundred thirty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 43 63 74 84 86 111 126 129 148 172 222 252 258 259 301 333 387 444 516 518 602 666 774 777 903 1036 1204 1332 1369 1548 1554 1591 1806 2331 2709 2738 3108 3182 3612 4107 4662 4773 5418 5476 6364 8214 9324 9546 9583 10836 11137 12321 14319 16428 19092 19166 22274 24642 28638 28749 33411 38332 44548 49284 57276 57498 58867 66822 86247 100233 114996 117734 133644 172494 176601 200466 235468 344988 353202 400932 412069 529803 706404 824138 1059606 1236207 1648276 2119212 2472414 3708621 4944828 7417242 14834484