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3344113300 = 2252112276373
BaseRepresentation
bin1100011101010011…
…0001111010010100
322122001112120001011
43013110301322110
523322043111200
61311455542004
7145604331313
oct30724617224
98561476034
103344113300
111466734900
12793b2a904
13413a89188
1423a1c027a
151488b85ba
hexc7531e94

3344113300 has 54 divisors (see below), whose sum is σ = 7976430014. Its totient is φ = 1216036800.

The previous prime is 3344113271. The next prime is 3344113301. The reversal of 3344113300 is 33114433.

It is a happy number.

3344113300 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 3 ways, for example, as 216619524 + 3127493776 = 14718^2 + 55924^2 .

It is a super-2 number, since 2×33441133002 = 22366187526473780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344113301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126087 + ... + 150286.

Almost surely, 23344113300 is an apocalyptic number.

It is an amenable number.

3344113300 is an abundant number, since it is smaller than the sum of its proper divisors (4632316714).

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

3344113300 is a wasteful number, since it uses less digits than its factorization.

3344113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276409 (or 276391 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3344113300 is about 57828.3088115155. The cubic root of 3344113300 is about 1495.4101625119.

Adding to 3344113300 its reverse (33114433), we get a palindrome (3377227733).

The spelling of 3344113300 in words is "three billion, three hundred forty-four million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 276373 552746 1105492 1381865 2763730 3040103 5527460 6080206 6909325 12160412 13818650 15200515 27637300 30401030 33441133 60802060 66882266 76002575 133764532 152005150 167205665 304010300 334411330 668822660 836028325 1672056650 3344113300