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444034311 = 37612511381
BaseRepresentation
bin11010011101110…
…110110100000111
31010221112021120020
4122131312310013
51402133044221
6112021110223
714001141450
oct3235666407
91127467506
10444034311
11208711606
12104858373
1370cbb4c6
1442d88127
1528eb0ac6
hex1a776d07

444034311 has 32 divisors (see below), whose sum is σ = 690955776. Its totient is φ = 248400000.

The previous prime is 444034309. The next prime is 444034319. The reversal of 444034311 is 113430444.

It is not a de Polignac number, because 444034311 - 21 = 444034309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444034319) 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 31 ways as a sum of consecutive naturals, for example, 320841 + ... + 322221.

It is an arithmetic number, because the mean of its divisors is an integer number (21592368).

Almost surely, 2444034311 is an apocalyptic number.

444034311 is a deficient number, since it is larger than the sum of its proper divisors (246921465).

444034311 is a wasteful number, since it uses less digits than its factorization.

444034311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703.

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

The square root of 444034311 is about 21072.1216539768. The cubic root of 444034311 is about 762.9080133273.

Adding to 444034311 its reverse (113430444), we get a palindrome (557464755).

The spelling of 444034311 in words is "four hundred forty-four million, thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 21 61 183 251 427 753 1281 1381 1757 4143 5271 9667 15311 29001 45933 84241 107177 252723 321531 346631 589687 1039893 1769061 2426417 7279251 21144491 63433473 148011437 444034311