Search a number
-
+
3034830348 = 2233112819091
BaseRepresentation
bin1011010011100011…
…1101011000001100
321211111120100121000
42310320331120030
522203404032343
61221050540300
7135130426614
oct26470753014
97744510530
103034830348
11131809aa60
12708437690
1339498b004
1420b0b1a44
1512b673ed3
hexb4e3d60c

3034830348 has 96 divisors (see below), whose sum is σ = 8614851840. Its totient is φ = 916272000.

The previous prime is 3034830341. The next prime is 3034830389. The reversal of 3034830348 is 8430384303.

3034830348 is a `hidden beast` number, since 3 + 0 + 348 + 303 + 4 + 8 = 666.

3034830348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30348303482 = 18420390482283602208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3034830341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329283 + ... + 338373.

It is an arithmetic number, because the mean of its divisors is an integer number (89738040).

Almost surely, 23034830348 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 3034830348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307425920).

3034830348 is an abundant number, since it is smaller than the sum of its proper divisors (5580021492).

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

3034830348 is a wasteful number, since it uses less digits than its factorization.

3034830348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3034830348 is about 55089.2943138683. The cubic root of 3034830348 is about 1447.8096693099.

The spelling of 3034830348 in words is "three billion, thirty-four million, eight hundred thirty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 281 297 396 562 594 843 1124 1188 1686 2529 3091 3372 5058 6182 7587 9091 9273 10116 12364 15174 18182 18546 27273 27819 30348 36364 37092 54546 55638 81819 83457 100001 109092 111276 163638 166914 200002 245457 300003 327276 333828 400004 490914 600006 900009 981828 1200012 1800018 2554571 2700027 3600036 5109142 5400054 7663713 10218284 10800108 15327426 22991139 28100281 30654852 45982278 56200562 68973417 84300843 91964556 112401124 137946834 168601686 252902529 275893668 337203372 505805058 758707587 1011610116 1517415174 3034830348