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4234032 = 2437112
BaseRepresentation
bin10000001001101100110000
321222010000000
4100021230300
52040442112
6230430000
750663055
oct20115460
97863000
104234032
112432100
121502300
13b5325a
147c302c
155897dc
hex409b30

4234032 has 120 divisors (see below), whose sum is σ = 13523440. Its totient is φ = 1283040.

The previous prime is 4234019. The next prime is 4234033. The reversal of 4234032 is 2304324.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 = 4233996 and 4234014.

It is not an unprimeable number, because it can be changed into a prime (4234033) 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, 384907 + ... + 384917.

Almost surely, 24234032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761720).

4234032 is an abundant number, since it is smaller than the sum of its proper divisors (9289408).

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

4234032 is an equidigital number, since it uses as much as digits as its factorization.

4234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4234032 is about 2057.6763593918. The cubic root of 4234032 is about 161.7774722474. Note that the first 3 decimals are identical.

Adding to 4234032 its reverse (2304324), we get a palindrome (6538356).

The spelling of 4234032 in words is "four million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 243 264 297 324 363 396 432 484 486 528 594 648 726 729 792 891 968 972 1089 1188 1296 1452 1458 1584 1782 1936 1944 2178 2187 2376 2673 2904 2916 3267 3564 3888 4356 4374 4752 5346 5808 5832 6534 7128 8019 8712 8748 9801 10692 11664 13068 14256 16038 17424 17496 19602 21384 24057 26136 29403 32076 34992 39204 42768 48114 52272 58806 64152 78408 88209 96228 117612 128304 156816 176418 192456 235224 264627 352836 384912 470448 529254 705672 1058508 1411344 2117016 4234032