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4214340432 = 243229266253
BaseRepresentation
bin1111101100110001…
…1011101101010000
3101212201000200020200
43323030123231100
532112332343212
61534103535200
7206302205541
oct37314335520
911781020220
104214340432
111872981385
1299745a500
1352215a083
142bd9ca4c8
15199eb36dc
hexfb31bb50

4214340432 has 30 divisors (see below), whose sum is σ = 11794300362. Its totient is φ = 1404780096.

The previous prime is 4214340419. The next prime is 4214340457. The reversal of 4214340432 is 2340434124.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4011448896 + 202891536 = 63336^2 + 14244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4214340396 and 4214340405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14632983 + ... + 14633270.

Almost surely, 24214340432 is an apocalyptic number.

It is an amenable number.

4214340432 is an abundant number, since it is smaller than the sum of its proper divisors (7579959930).

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

4214340432 is a wasteful number, since it uses less digits than its factorization.

4214340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29266267 (or 29266258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4214340432 is about 64917.9515388463. The cubic root of 4214340432 is about 1615.2628508198.

Adding to 4214340432 its reverse (2340434124), we get a palindrome (6554774556).

The spelling of 4214340432 in words is "four billion, two hundred fourteen million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 29266253 58532506 87798759 117065012 175597518 234130024 263396277 351195036 468260048 526792554 702390072 1053585108 1404780144 2107170216 4214340432