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114284472 = 23317216477
BaseRepresentation
bin1101100111111…
…01011110111000
321222001020211020
412303331132320
5213224100342
615201302440
72555254611
oct663753670
9258036736
10114284472
1159568685
1232334a20
131a8a5563
141126cc08
15a0770ec
hex6cfd7b8

114284472 has 48 divisors (see below), whose sum is σ = 303524760. Its totient is φ = 35851776.

The previous prime is 114284459. The next prime is 114284479. The reversal of 114284472 is 274482411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114284479) 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, 1303 + ... + 15174.

Almost surely, 2114284472 is an apocalyptic number.

114284472 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 114284472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151762380).

114284472 is an abundant number, since it is smaller than the sum of its proper divisors (189240288).

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

114284472 is a wasteful number, since it uses less digits than its factorization.

114284472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16520 (or 16499 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 114284472 is about 10690.3915737451. The cubic root of 114284472 is about 485.2837422830.

The spelling of 114284472 in words is "one hundred fourteen million, two hundred eighty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 16477 32954 49431 65908 98862 131816 197724 280109 395448 560218 840327 1120436 1680654 2240872 3361308 4761853 6722616 9523706 14285559 19047412 28571118 38094824 57142236 114284472