Search a number
-
+
3074139576 = 233216321607
BaseRepresentation
bin1011011100111011…
…1010010110111000
321221020112110201100
42313032322112320
522243434431301
61225013251400
7136115520024
oct26716722670
97836473640
103074139576
1113382a9622
12719633b60
1339cb72301
142123c5384
1512ed3b286
hexb73ba5b8

3074139576 has 72 divisors (see below), whose sum is σ = 8382399480. Its totient is φ = 1017792864.

The previous prime is 3074139571. The next prime is 3074139587. The reversal of 3074139576 is 6759314703.

3074139576 is a `hidden beast` number, since 3 + 0 + 7 + 41 + 39 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074139571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1912165 + ... + 1913771.

It is an arithmetic number, because the mean of its divisors is an integer number (116422215).

Almost surely, 23074139576 is an apocalyptic number.

3074139576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3074139576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191199740).

3074139576 is an abundant number, since it is smaller than the sum of its proper divisors (5308259904).

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

3074139576 is a wasteful number, since it uses less digits than its factorization.

3074139576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3074139576 is about 55444.9238073243. The cubic root of 3074139576 is about 1454.0338844528.

The spelling of 3074139576 in words is "three billion, seventy-four million, one hundred thirty-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1607 1956 2934 3214 3912 4821 5868 6428 9642 11736 12856 14463 19284 26569 28926 38568 53138 57852 79707 106276 115704 159414 212552 239121 261941 318828 478242 523882 637656 785823 956484 1047764 1571646 1912968 2095528 2357469 3143292 4714938 6286584 9429876 18859752 42696383 85392766 128089149 170785532 256178298 341571064 384267447 512356596 768534894 1024713192 1537069788 3074139576