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4334080 = 2951693
BaseRepresentation
bin10000100010001000000000
322011012020111
4100202020000
52102142310
6232521104
751560542
oct20421000
98135214
104334080
1124a0293
121550194
13b8995a
1480b692
155a928a
hex422200

4334080 has 40 divisors (see below), whose sum is σ = 10397772. Its totient is φ = 1732608.

The previous prime is 4334041. The next prime is 4334087. The reversal of 4334080 is 804334.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 73984 = 2064^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4334087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1714 + ... + 3406.

Almost surely, 24334080 is an apocalyptic number.

4334080 is a gapful number since it is divisible by the number (40) 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 4334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198886).

4334080 is an abundant number, since it is smaller than the sum of its proper divisors (6063692).

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

4334080 is an equidigital number, since it uses as much as digits as its factorization.

4334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4334080 is about 2081.8453352735. The cubic root of 4334080 is about 163.0418049271.

It can be divided in two parts, 4 and 334080, that added together give a square (334084 = 5782).

The spelling of 4334080 in words is "four million, three hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1693 2560 3386 6772 8465 13544 16930 27088 33860 54176 67720 108352 135440 216704 270880 433408 541760 866816 1083520 2167040 4334080