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3365972289 = 328322332
BaseRepresentation
bin1100100010100000…
…1010100101000001
322200120200002221100
43020220022211001
523343142103124
61314000245013
7146261202201
oct31050124501
98616602840
103365972289
111478004889
1279b310769
134184707a4
1423d070401
1514a7851c9
hexc8a0a941

3365972289 has 27 divisors (see below), whose sum is σ = 4942455427. Its totient is φ = 2207430816.

The previous prime is 3365972287. The next prime is 3365972293. The reversal of 3365972289 is 9822795633.

It is a happy number.

The square root of 3365972289 is 58017.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 683561025 + 2682411264 = 26145^2 + 51792^2 .

It is not a de Polignac number, because 3365972289 - 21 = 3365972287 is a prime.

It is a super-2 number, since 2×33659722892 = 22659538900631799042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3365972287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14446117 + ... + 14446349.

Almost surely, 23365972289 is an apocalyptic number.

3365972289 is the 58017-th square number.

3365972289 is the 29009-th centered octagonal number.

It is an amenable number.

3365972289 is a deficient number, since it is larger than the sum of its proper divisors (1576483138).

3365972289 is an frugal number, since it uses more digits than its factorization.

3365972289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The cubic root of 3365972289 is about 1498.6613670633.

The spelling of 3365972289 in words is "three billion, three hundred sixty-five million, nine hundred seventy-two thousand, two hundred eighty-nine".

Divisors: 1 3 9 83 233 249 699 747 2097 6889 19339 20667 54289 58017 62001 162867 174051 488601 1605137 4505987 4815411 13517961 14446233 40553883 373996921 1121990763 3365972289