Search a number
-
+
352816020 = 22335653363
BaseRepresentation
bin10101000001111…
…000101110010100
3220120212220121000
4111001320232110
51210310103040
655002023300
711512613064
oct2501705624
9816786530
10352816020
11171178997
129a1a7b30
1358130b9b
1434c013a4
1520e93130
hex15078b94

352816020 has 48 divisors (see below), whose sum is σ = 1097651520. Its totient is φ = 94084128.

The previous prime is 352816003. The next prime is 352816049. The reversal of 352816020 is 20618253.

352816020 is a `hidden beast` number, since 3 + 52 + 8 + 1 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326142 + ... + 327221.

It is an arithmetic number, because the mean of its divisors is an integer number (22867740).

Almost surely, 2352816020 is an apocalyptic number.

352816020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352816020 is an abundant number, since it is smaller than the sum of its proper divisors (744835500).

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

352816020 is a wasteful number, since it uses less digits than its factorization.

352816020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653381 (or 653373 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 352816020 is about 18783.3974562644. The cubic root of 352816020 is about 706.6148586480.

The spelling of 352816020 in words is "three hundred fifty-two million, eight hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 653363 1306726 1960089 2613452 3266815 3920178 5880267 6533630 7840356 9800445 11760534 13067260 17640801 19600890 23521068 29401335 35281602 39201780 58802670 70563204 88204005 117605340 176408010 352816020