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352424020 = 225136720231
BaseRepresentation
bin10101000000011…
…001000001010100
3220120010222212111
4111000121001110
51210210032040
654545400404
711506361164
oct2500310124
9816128774
10352424020
11170a30423
129a039104
1358024630
1434b3c5a4
1520e16dea
hex15019054

352424020 has 48 divisors (see below), whose sum is σ = 808956288. Its totient is φ = 128177280.

The previous prime is 352424011. The next prime is 352424021. The reversal of 352424020 is 20424253.

It is a junction number, because it is equal to n+sod(n) for n = 352423982 and 352424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352424021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7305 + ... + 27535.

It is an arithmetic number, because the mean of its divisors is an integer number (16853256).

Almost surely, 2352424020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404478144).

352424020 is an abundant number, since it is smaller than the sum of its proper divisors (456532268).

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

352424020 is a wasteful number, since it uses less digits than its factorization.

352424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20320 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 352424020 is about 18772.9598092576. The cubic root of 352424020 is about 706.3530643439.

Adding to 352424020 its reverse (20424253), we get a palindrome (372848273).

The spelling of 352424020 in words is "three hundred fifty-two million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 8710 17420 20231 40462 80924 101155 202310 263003 404620 526006 1052012 1315015 1355477 2630030 2710954 5260060 5421908 6777385 13554770 17621201 27109540 35242402 70484804 88106005 176212010 352424020