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4234880 = 27513509
BaseRepresentation
bin10000001001111010000000
321222011011102
4100021322000
52041004010
6230433532
750665406
oct20117200
97864142
104234880
112432801
1215028a8
13b53760
147c3476
15589ba5
hex409e80

4234880 has 64 divisors (see below), whose sum is σ = 10924200. Its totient is φ = 1560576.

The previous prime is 4234877. The next prime is 4234907. The reversal of 4234880 is 884324.

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 937024 = 1816^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42348802 = 35868417228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8066 + ... + 8574.

Almost surely, 24234880 is an apocalyptic number.

4234880 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 4234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462100).

4234880 is an abundant number, since it is smaller than the sum of its proper divisors (6689320).

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

4234880 is a wasteful number, since it uses less digits than its factorization.

4234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4234880 is about 2057.8824067473. The cubic root of 4234880 is about 161.7882718932.

The spelling of 4234880 in words is "four million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 509 520 640 832 1018 1040 1664 2036 2080 2545 4072 4160 5090 6617 8144 8320 10180 13234 16288 20360 26468 32576 33085 40720 52936 65152 66170 81440 105872 132340 162880 211744 264680 325760 423488 529360 846976 1058720 2117440 4234880