Search a number
-
+
2994288408 = 2332473672411
BaseRepresentation
bin1011001001111001…
…0011011100011000
321201200021121111200
42302132103130120
522113014212113
61213041554200
7134126013546
oct26236233430
97650247450
102994288408
1112a721a221
126b6945960
133894648b7
1420595ad96
15127d16873
hexb2793718

2994288408 has 96 divisors (see below), whose sum is σ = 8308085760. Its totient is φ = 973794240.

The previous prime is 2994288403. The next prime is 2994288431. The reversal of 2994288408 is 8048824992.

2994288408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994288403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240723 + ... + 1243133.

It is an arithmetic number, because the mean of its divisors is an integer number (86542560).

Almost surely, 22994288408 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 2994288408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154042880).

2994288408 is an abundant number, since it is smaller than the sum of its proper divisors (5313797352).

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

2994288408 is a wasteful number, since it uses less digits than its factorization.

2994288408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2994288408 is about 54720.0914472920. The cubic root of 2994288408 is about 1441.3337064892. Note that the first 3 decimals are identical.

The spelling of 2994288408 in words is "two billion, nine hundred ninety-four million, two hundred eighty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 367 376 423 564 734 846 1101 1128 1468 1692 2202 2411 2936 3303 3384 4404 4822 6606 7233 8808 9644 13212 14466 17249 19288 21699 26424 28932 34498 43398 51747 57864 68996 86796 103494 113317 137992 155241 173592 206988 226634 310482 339951 413976 453268 620964 679902 884837 906536 1019853 1241928 1359804 1769674 2039706 2654511 2719608 3539348 4079412 5309022 7078696 7963533 8158824 10618044 15927066 21236088 31854132 41587339 63708264 83174678 124762017 166349356 249524034 332698712 374286051 499048068 748572102 998096136 1497144204 2994288408