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4314024 = 23321113419
BaseRepresentation
bin10000011101001110101000
322010011201200
4100131032220
52101022044
6232244200
751445221
oct20351650
98104650
104314024
112487210
121540660
13b807a0
14804248
155a3369
hex41d3a8

4314024 has 96 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 1203840.

The previous prime is 4314017. The next prime is 4314029. The reversal of 4314024 is 4204134.

It is a super-2 number, since 2×43140242 = 37221606145152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4313988 and 4314006.

It is not an unprimeable number, because it can be changed into a prime (4314029) 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, 10087 + ... + 10505.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

Almost surely, 24314024 is an apocalyptic number.

4314024 is a gapful number since it is divisible by the number (44) 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 4314024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

4314024 is an abundant number, since it is smaller than the sum of its proper divisors (9445176).

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

4314024 is a wasteful number, since it uses less digits than its factorization.

4314024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4314024 is about 2077.0228693974. The cubic root of 4314024 is about 162.7899234527.

Adding to 4314024 its reverse (4204134), we get a palindrome (8518158).

It can be divided in two parts, 4 and 314024, that added together give a triangular number (314028 = T792).

The spelling of 4314024 in words is "four million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 419 429 468 572 792 838 858 936 1144 1257 1287 1676 1716 2514 2574 3352 3432 3771 4609 5028 5148 5447 7542 9218 10056 10296 10894 13827 15084 16341 18436 21788 27654 30168 32682 36872 41481 43576 49023 55308 59917 65364 82962 98046 110616 119834 130728 165924 179751 196092 239668 331848 359502 392184 479336 539253 719004 1078506 1438008 2157012 4314024