Search a number
-
+
2034403200 = 27325270639
BaseRepresentation
bin111100101000010…
…1000011110000000
312020210002101112200
41321100220132000
513131301400300
6533512153200
7101262066444
oct17120503600
95223071480
102034403200
11954405265
12489398800
1326563159b
14154292824
15bd90b200
hex79428780

2034403200 has 144 divisors (see below), whose sum is σ = 7259319600. Its totient is φ = 542499840.

The previous prime is 2034403139. The next prime is 2034403271. The reversal of 2034403200 is 23044302.

2034403200 is a `hidden beast` number, since 2 + 0 + 344 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6520 + ... + 64119.

Almost surely, 22034403200 is an apocalyptic number.

2034403200 is a gapful number since it is divisible by the number (20) 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 2034403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629659800).

2034403200 is an abundant number, since it is smaller than the sum of its proper divisors (5224916400).

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

2034403200 is a wasteful number, since it uses less digits than its factorization.

2034403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70669 (or 70649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2034403200 is about 45104.3589911219. The cubic root of 2034403200 is about 1267.1042378660.

Adding to 2034403200 its reverse (23044302), we get a palindrome (2057447502).

The spelling of 2034403200 in words is "two billion, thirty-four million, four hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 70639 141278 211917 282556 353195 423834 565112 635751 706390 847668 1059585 1130224 1271502 1412780 1695336 1765975 2119170 2260448 2543004 2825560 3178755 3390672 3531950 4238340 4520896 5086008 5297925 5651120 6357510 6781344 7063900 8476680 9041792 10172016 10595850 11302240 12715020 13562688 14127800 15893775 16953360 20344032 21191700 22604480 25430040 27125376 28255600 31787550 33906720 40688064 42383400 45208960 50860080 56511200 63575100 67813440 81376128 84766800 101720160 113022400 127150200 135626880 169533600 203440320 226044800 254300400 339067200 406880640 508600800 678134400 1017201600 2034403200