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4374132 = 2237243173
BaseRepresentation
bin10000101011111001110100
322020020011220
4100223321310
52104433012
6233430340
752115400
oct20537164
98206156
104374132
112518394
12156b3b0
13ba1c59
1481c100
155b608c
hex42be74

4374132 has 72 divisors (see below), whose sum is σ = 12218976. Its totient is φ = 1213632.

The previous prime is 4374119. The next prime is 4374133. The reversal of 4374132 is 2314734.

4374132 is digitally balanced in base 4, base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4 + 35 + 74 + 411 + 1 + 311 + 25 .

4374132 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374133) 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, 25198 + ... + 25370.

It is an arithmetic number, because the mean of its divisors is an integer number (169708).

Almost surely, 24374132 is an apocalyptic number.

4374132 is a gapful number since it is divisible by the number (42) 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 4374132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109488).

4374132 is an abundant number, since it is smaller than the sum of its proper divisors (7844844).

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

4374132 is a wasteful number, since it uses less digits than its factorization.

4374132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 4374132 is about 2091.4425643560. The cubic root of 4374132 is about 163.5424984681.

Adding to 4374132 its reverse (2314734), we get a palindrome (6688866).

The spelling of 4374132 in words is "four million, three hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 173 196 258 294 301 346 516 519 588 602 692 903 1038 1204 1211 1806 2076 2107 2422 3612 3633 4214 4844 6321 7266 7439 8428 8477 12642 14532 14878 16954 22317 25284 25431 29756 33908 44634 50862 52073 89268 101724 104146 156219 208292 312438 364511 624876 729022 1093533 1458044 2187066 4374132