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3444320121 = 311376771593
BaseRepresentation
bin1100110101001100…
…0010011101111001
322220001002120221220
43031103002131321
524023221220441
61325435422253
7151232144424
oct31523023571
98801076856
103444320121
111508257760
128015b4989
1342b772b58
142496269bb
151525ae466
hexcd4c2779

3444320121 has 64 divisors (see below), whose sum is σ = 5304600576. Its totient is φ = 1969228800.

The previous prime is 3444320119. The next prime is 3444320123. The reversal of 3444320121 is 1210234443.

It is an interprime number because it is at equal distance from previous prime (3444320119) and next prime (3444320123).

It is not a de Polignac number, because 3444320121 - 21 = 3444320119 is a prime.

It is a super-3 number, since 3×34443201213 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444320091 and 3444320100.

It is not an unprimeable number, because it can be changed into a prime (3444320123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5808001 + ... + 5808593.

It is an arithmetic number, because the mean of its divisors is an integer number (82884384).

Almost surely, 23444320121 is an apocalyptic number.

It is an amenable number.

3444320121 is a deficient number, since it is larger than the sum of its proper divisors (1860280455).

3444320121 is a wasteful number, since it uses less digits than its factorization.

3444320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3444320121 is about 58688.3303647326. The cubic root of 3444320121 is about 1510.2001285848.

Adding to 3444320121 its reverse (1210234443), we get a palindrome (4654554564).

The spelling of 3444320121 in words is "three billion, four hundred forty-four million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 67 71 111 201 213 407 593 737 781 1221 1779 2211 2343 2479 2627 4757 6523 7437 7881 14271 19569 21941 27269 28897 39731 42103 52327 65823 81807 86691 119193 126309 156981 176009 241351 437041 463133 528027 724053 1311123 1389399 1470047 1557811 1936099 2820901 4410141 4673433 5808297 8462703 16170517 17135921 31029911 48511551 51407763 93089733 104373337 313120011 1148106707 3444320121