Search a number
-
+
3035315424 = 253375771481
BaseRepresentation
bin1011010011101011…
…0011110011100000
321211112110222222210
42310322303303200
522204020043144
61221105202120
7135134520051
oct26472636340
97745428883
103035315424
1113183a1449
12708630340
13394acaa3b
1420b19a728
1512b71cab9
hexb4eb3ce0

3035315424 has 96 divisors (see below), whose sum is σ = 8202763296. Its totient is φ = 982056960.

The previous prime is 3035315411. The next prime is 3035315441. The reversal of 3035315424 is 4245135303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3035315391 and 3035315400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2048764 + ... + 2050244.

It is an arithmetic number, because the mean of its divisors is an integer number (85445451).

Almost surely, 23035315424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3035315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101381648).

3035315424 is an abundant number, since it is smaller than the sum of its proper divisors (5167447872).

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

3035315424 is a wasteful number, since it uses less digits than its factorization.

3035315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3035315424 is about 55093.6967719539. The cubic root of 3035315424 is about 1447.8868027054.

The spelling of 3035315424 in words is "three billion, thirty-five million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 577 592 888 1154 1184 1481 1731 1776 2308 2962 3462 3552 4443 4616 5924 6924 8886 9232 11848 13848 17772 18464 21349 23696 27696 35544 42698 47392 54797 55392 64047 71088 85396 109594 128094 142176 164391 170792 219188 256188 328782 341584 438376 512376 657564 683168 854537 876752 1024752 1315128 1709074 1753504 2049504 2563611 2630256 3418148 5127222 5260512 6836296 10254444 13672592 20508888 27345184 31617869 41017776 63235738 82035552 94853607 126471476 189707214 252942952 379414428 505885904 758828856 1011771808 1517657712 3035315424