Search a number
-
+
2940339402 = 23271113212553
BaseRepresentation
bin1010111101000010…
…0000010011001010
321120220202201101100
42233100200103022
522010211330102
61203433402230
7132602321040
oct25720402312
97526681340
102940339402
111279821570
126a0869376
1337b225c00
141dc716390
1512320ba1c
hexaf4204ca

2940339402 has 144 divisors (see below), whose sum is σ = 8601398208. Its totient is φ = 704920320.

The previous prime is 2940339379. The next prime is 2940339403. The reversal of 2940339402 is 2049330492.

It is not an unprimeable number, because it can be changed into a prime (2940339403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227958 + ... + 240510.

It is an arithmetic number, because the mean of its divisors is an integer number (59731932).

Almost surely, 22940339402 is an apocalyptic number.

2940339402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940339402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300699104).

2940339402 is an abundant number, since it is smaller than the sum of its proper divisors (5661058806).

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

2940339402 is a wasteful number, since it uses less digits than its factorization.

2940339402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2940339402 is about 54224.8965144241. The cubic root of 2940339402 is about 1432.6248758585.

Adding to 2940339402 its reverse (2049330492), we get a palindrome (4989669894).

The spelling of 2940339402 in words is "two billion, nine hundred forty million, three hundred thirty-nine thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 169 182 198 231 234 273 286 338 429 462 507 546 693 819 858 1001 1014 1183 1287 1386 1521 1638 1859 2002 2366 2574 3003 3042 3549 3718 5577 6006 7098 9009 10647 11154 12553 13013 16731 18018 21294 25106 26026 33462 37659 39039 75318 78078 87871 112977 117117 138083 163189 175742 225954 234234 263613 276166 326378 414249 489567 527226 790839 828498 966581 979134 1142323 1242747 1468701 1581678 1795079 1933162 2121457 2284646 2485494 2899743 2937402 3426969 3590158 4242914 5385237 5799486 6364371 6853938 8699229 10280907 10770474 12565553 12728742 14850199 16155711 17398458 19093113 20561814 23336027 25131106 29700398 32311422 37696659 38186226 44550597 46672054 70008081 75393318 89101194 113089977 133651791 140016162 163352189 210024243 226179954 267303582 326704378 420048486 490056567 980113134 1470169701 2940339402