Search a number
-
+
3373080000 = 2635428109
BaseRepresentation
bin1100100100001101…
…0001110111000000
322201002001012212220
43021003101313000
523402002030000
61314412451040
7146405464323
oct31103216700
98632035786
103373080000
111481019a24
127a1779a80
13419a8ba34
1423dda07ba
1514b1db1a0
hexc90d1dc0

3373080000 has 140 divisors (see below), whose sum is σ = 11152586280. Its totient is φ = 899456000.

The previous prime is 3373079993. The next prime is 3373080001. The reversal of 3373080000 is 803733.

It is a super-3 number, since 3×33730800003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3373080001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 105946 + ... + 134054.

Almost surely, 23373080000 is an apocalyptic number.

3373080000 is a gapful number since it is divisible by the number (30) 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 3373080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576293140).

3373080000 is an abundant number, since it is smaller than the sum of its proper divisors (7779506280).

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

3373080000 is an equidigital number, since it uses as much as digits as its factorization.

3373080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28144 (or 28119 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3373080000 is about 58078.2231133150. The cubic root of 3373080000 is about 1499.7155015994.

Adding to 3373080000 its reverse (803733), we get a palindrome (3373883733).

The spelling of 3373080000 in words is "three billion, three hundred seventy-three million, eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 28109 30000 40000 56218 60000 84327 112436 120000 140545 168654 224872 281090 337308 421635 449744 562180 674616 702725 843270 899488 1124360 1349232 1405450 1686540 1798976 2108175 2248720 2698464 2810900 3373080 3513625 4216350 4497440 5396928 5621800 6746160 7027250 8432700 8994880 10540875 11243600 13492320 14054500 16865400 17568125 21081750 22487200 26984640 28109000 33730800 35136250 42163500 44974400 52704375 56218000 67461600 70272500 84327000 105408750 112436000 134923200 140545000 168654000 210817500 224872000 281090000 337308000 421635000 562180000 674616000 843270000 1124360000 1686540000 3373080000