Search a number
-
+
34216212000 = 253532851351
BaseRepresentation
bin11111110111011100…
…011111011000100000
310021022120211122221010
4133313130133120200
51030033322241000
623415124100520
72320624001055
oct376734373040
9107276748833
1034216212000
1113569183563
12676ab34740
1332c3a28cb9
1419283a102c
15d53d5bd50
hex7f771f620

34216212000 has 96 divisors (see below), whose sum is σ = 112092349824. Its totient is φ = 9124320000.

The previous prime is 34216211983. The next prime is 34216212029. The reversal of 34216212000 is 21261243.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413676 + ... + 1437675.

It is an arithmetic number, because the mean of its divisors is an integer number (1167628644).

Almost surely, 234216212000 is an apocalyptic number.

34216212000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34216212000 is an abundant number, since it is smaller than the sum of its proper divisors (77876137824).

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

34216212000 is a wasteful number, since it uses less digits than its factorization.

34216212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851379 (or 2851361 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34216212000 its reverse (21261243), we get a palindrome (34237473243).

The spelling of 34216212000 in words is "thirty-four billion, two hundred sixteen million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 2851351 5702702 8554053 11405404 14256755 17108106 22810808 28513510 34216212 42770265 45621616 57027020 68432424 71283775 85540530 91243232 114054040 136864848 142567550 171081060 213851325 228108080 273729696 285135100 342162120 356418875 427702650 456216160 570270200 684324240 712837750 855405300 1069256625 1140540400 1368648480 1425675500 1710810600 2138513250 2281080800 2851351000 3421621200 4277026500 5702702000 6843242400 8554053000 11405404000 17108106000 34216212000