Search a number
-
+
2294941408 = 253159113347
BaseRepresentation
bin1000100011001010…
…0000011011100000
312220221100002202221
42020302200123200
514200001111113
61015420320424
7110604452164
oct21062403340
95827302687
102294941408
11a784864a1
125406a3114
132a75c37c6
1417ab12ca4
15d672298d
hex88ca06e0

2294941408 has 96 divisors (see below), whose sum is σ = 4798725120. Its totient is φ = 1078855680.

The previous prime is 2294941379. The next prime is 2294941417. The reversal of 2294941408 is 8041494922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6613491 + ... + 6613837.

It is an arithmetic number, because the mean of its divisors is an integer number (49986720).

Almost surely, 22294941408 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 2294941408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399362560).

2294941408 is an abundant number, since it is smaller than the sum of its proper divisors (2503783712).

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

2294941408 is a wasteful number, since it uses less digits than its factorization.

2294941408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 2294941408 is about 47905.5467352164. The cubic root of 2294941408 is about 1319.0376763212.

The spelling of 2294941408 in words is "two billion, two hundred ninety-four million, nine hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 59 62 113 118 124 226 236 248 347 452 472 496 694 904 944 992 1388 1808 1829 1888 2776 3503 3616 3658 5552 6667 7006 7316 10757 11104 13334 14012 14632 20473 21514 26668 28024 29264 39211 40946 43028 53336 56048 58528 78422 81892 86056 106672 112096 156844 163784 172112 206677 213344 313688 327568 344224 413354 627376 634663 655136 826708 1215541 1254752 1269326 1653416 2313449 2431082 2538652 3306832 4626898 4862164 5077304 6613664 9253796 9724328 10154608 18507592 19448656 20309216 37015184 38897312 71716919 74030368 143433838 286867676 573735352 1147470704 2294941408