Search a number
-
+
2934446944 = 2511131933751
BaseRepresentation
bin1010111011101000…
…0001101101100000
321120111200100110011
42232322001231200
522002204300234
61203103214304
7132501246622
oct25672015540
97514610404
102934446944
111276467470
1269a8a7394
13379c41b50
141dba20c12
15122945b64
hexaee81b60

2934446944 has 96 divisors (see below), whose sum is σ = 7144623360. Its totient is φ = 1166400000.

The previous prime is 2934446929. The next prime is 2934446971. The reversal of 2934446944 is 4496444392.

It is a happy number.

It is a super-2 number, since 2×29344469442 = 17221957734301878272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70069 + ... + 103819.

It is an arithmetic number, because the mean of its divisors is an integer number (74423160).

Almost surely, 22934446944 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 2934446944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572311680).

2934446944 is an abundant number, since it is smaller than the sum of its proper divisors (4210176416).

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

2934446944 is a wasteful number, since it uses less digits than its factorization.

2934446944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33804 (or 33796 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 49.

The square root of 2934446944 is about 54170.5357551501. The cubic root of 2934446944 is about 1431.6672395562.

The spelling of 2934446944 in words is "two billion, nine hundred thirty-four million, four hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 608 836 988 1144 1672 1976 2288 2717 3344 3952 4576 5434 6688 7904 10868 21736 33751 43472 67502 86944 135004 270008 371261 438763 540016 641269 742522 877526 1080032 1282538 1485044 1755052 2565076 2970088 3510104 4826393 5130152 5940176 7020208 7053959 8336497 9652786 10260304 11880352 14040416 14107918 16672994 19305572 20520608 28215836 33345988 38611144 56431672 66691976 77222288 91701467 112863344 133383952 154444576 183402934 225726688 266767904 366805868 733611736 1467223472 2934446944