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3344420000 = 2554167221
BaseRepresentation
bin1100011101010111…
…1100110010100000
322122002010010202102
43013111330302200
523322132420000
61311510305532
7145610046425
oct30725746240
98562103672
103344420000
111466924279
127940582a8
13413b6595c
1423a25dd4c
151489293d5
hexc757cca0

3344420000 has 60 divisors (see below), whose sum is σ = 8227824066. Its totient is φ = 1337760000.

The previous prime is 3344419963. The next prime is 3344420003. The reversal of 3344420000 is 244433.

It is a happy number.

3344420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 90402064 + 3254017936 = 9508^2 + 57044^2 .

It is a super-2 number, since 2×33444200002 = 22370290272800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3344420003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63611 + ... + 103610.

Almost surely, 23344420000 is an apocalyptic number.

It is an amenable number.

3344420000 is an abundant number, since it is smaller than the sum of its proper divisors (4883404066).

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

3344420000 is an equidigital number, since it uses as much as digits as its factorization.

3344420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167251 (or 167228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3344420000 is about 57830.9605661189. The cubic root of 3344420000 is about 1495.4558774978.

Adding to 3344420000 its reverse (244433), we get a palindrome (3344664433).

The spelling of 3344420000 in words is "three billion, three hundred forty-four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 167221 334442 668884 836105 1337768 1672210 2675536 3344420 4180525 5351072 6688840 8361050 13377680 16722100 20902625 26755360 33444200 41805250 66888400 83610500 104513125 133776800 167221000 209026250 334442000 418052500 668884000 836105000 1672210000 3344420000