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3344375385 = 345137972
BaseRepresentation
bin1100011101010111…
…0001111001011001
322122002000212120000
43013111301321121
523322130003020
61311505323213
7145606502361
oct30725617131
98562025500
103344375385
1114668a37aa
12794036509
13413b4b560
1423a24b9a1
1514891b090
hexc7571e59

3344375385 has 60 divisors (see below), whose sum is σ = 6464375148. Its totient is φ = 1644395904.

The previous prime is 3344375347. The next prime is 3344375389. The reversal of 3344375385 is 5835734433.

It can be written as a sum of positive squares in 6 ways, for example, as 257795136 + 3086580249 = 16056^2 + 55557^2 .

It is not a de Polignac number, because 3344375385 - 213 = 3344367193 is a prime.

It is a super-2 number, since 2×33443753852 = 22369693431587796450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3344375385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344375389) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4195807 + ... + 4196603.

Almost surely, 23344375385 is an apocalyptic number.

It is an amenable number.

3344375385 is a deficient number, since it is larger than the sum of its proper divisors (3119999763).

3344375385 is an frugal number, since it uses more digits than its factorization.

3344375385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 818 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The square root of 3344375385 is about 57830.5748285455. The cubic root of 3344375385 is about 1495.4492276092.

The spelling of 3344375385 in words is "three billion, three hundred forty-four million, three hundred seventy-five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 797 1053 1755 2391 3985 5265 7173 10361 11955 21519 31083 35865 51805 64557 93249 107595 155415 279747 322785 466245 635209 839241 1398735 1905627 3176045 4196205 5716881 8257717 9528135 17150643 24773151 28584405 41288585 51451929 74319453 85753215 123865755 222958359 257259645 371597265 668875077 1114791795 3344375385