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34431440 = 245430393
BaseRepresentation
bin1000001101011…
…0000111010000
32101210022001112
42003112013100
532303301230
63225552452
7565443131
oct203260720
971708045
1034431440
111848793a
12b645728
137197044
144803c88
153051d95
hex20d61d0

34431440 has 20 divisors (see below), whose sum is σ = 80053284. Its totient is φ = 13772544.

The previous prime is 34431403. The next prime is 34431451. The reversal of 34431440 is 4413443.

It can be written as a sum of positive squares in 2 ways, for example, as 13601344 + 20830096 = 3688^2 + 4564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215117 + ... + 215276.

Almost surely, 234431440 is an apocalyptic number.

It is an amenable number.

34431440 is an abundant number, since it is smaller than the sum of its proper divisors (45621844).

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

34431440 is a wasteful number, since it uses less digits than its factorization.

34431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430406 (or 430400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 34431440 is about 5867.8309450767. The cubic root of 34431440 is about 325.3257168482.

Adding to 34431440 its reverse (4413443), we get a palindrome (38844883).

The spelling of 34431440 in words is "thirty-four million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 430393 860786 1721572 2151965 3443144 4303930 6886288 8607860 17215720 34431440