Search a number
-
+
3034032496 = 2411313591549
BaseRepresentation
bin1011010011010111…
…1010100101110000
321211110001211010221
42310311322211300
522203203014441
61221021502424
7135120564535
oct26465724560
97743054127
103034032496
1113176a5580
12708111a14
1339476bb01
1420ad44d8c
1512b5678d1
hexb4d7a970

3034032496 has 80 divisors (see below), whose sum is σ = 6642432000. Its totient is φ = 1330041600.

The previous prime is 3034032493. The next prime is 3034032503. The reversal of 3034032496 is 6942304303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034032493) 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 15 ways as a sum of consecutive naturals, for example, 1957930 + ... + 1959478.

It is an arithmetic number, because the mean of its divisors is an integer number (83030400).

Almost surely, 23034032496 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 3034032496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321216000).

3034032496 is an abundant number, since it is smaller than the sum of its proper divisors (3608399504).

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

3034032496 is a wasteful number, since it uses less digits than its factorization.

3034032496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 3034032496 is about 55082.0523945868. The cubic root of 3034032496 is about 1447.6827825814.

Adding to 3034032496 its reverse (6942304303), we get a palindrome (9976336799).

The spelling of 3034032496 in words is "three billion, thirty-four million, thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 359 496 682 718 1364 1436 1549 2728 2872 3098 3949 5456 5744 6196 7898 11129 12392 15796 17039 22258 24784 31592 34078 44516 48019 63184 68156 89032 96038 122419 136312 178064 192076 244838 272624 384152 489676 528209 556091 768304 979352 1056418 1112182 1958704 2112836 2224364 4225672 4448728 6117001 8451344 8897456 12234002 17238821 24468004 34477642 48936008 68955284 97872016 137910568 189627031 275821136 379254062 758508124 1517016248 3034032496