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352424424 = 233114728403
BaseRepresentation
bin10101000000011…
…001000111101000
3220120011000102110
4111000121013220
51210210040144
654545402320
711506362312
oct2500310750
9816130373
10352424424
11170a30760
129a0393a0
1358024881
1434b3c7b2
1520e170b9
hex150191e8

352424424 has 64 divisors (see below), whose sum is σ = 981642240. Its totient is φ = 104519360.

The previous prime is 352424411. The next prime is 352424441. The reversal of 352424424 is 424424253.

It is a junction number, because it is equal to n+sod(n) for n = 352424391 and 352424400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 26609.

It is an arithmetic number, because the mean of its divisors is an integer number (15338160).

Almost surely, 2352424424 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 352424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490821120).

352424424 is an abundant number, since it is smaller than the sum of its proper divisors (629217816).

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

352424424 is a wasteful number, since it uses less digits than its factorization.

352424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28470 (or 28466 counting only the distinct ones).

The product of its digits is 30720, while the sum is 30.

The square root of 352424424 is about 18772.9705694118. The cubic root of 352424424 is about 706.3533342522.

Adding to 352424424 its reverse (424424253), we get a palindrome (776848677).

The spelling of 352424424 in words is "three hundred fifty-two million, four hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 28403 56806 85209 113612 170418 227224 312433 340836 624866 681672 937299 1249732 1334941 1874598 2499464 2669882 3749196 4004823 5339764 7498392 8009646 10679528 14684351 16019292 29368702 32038584 44053053 58737404 88106106 117474808 176212212 352424424