Search a number
-
+
2938714740 = 22325131255861
BaseRepresentation
bin1010111100101001…
…0011101001110100
321120210201011202200
42233022103221310
522004302332430
61203334504500
7132552443313
oct25712235164
97523634680
102938714740
111278911975
126a0205130
1337aaa7580
141dc41227a
15122eda460
hexaf293a74

2938714740 has 72 divisors (see below), whose sum is σ = 9599809128. Its totient is φ = 723375360.

The previous prime is 2938714721. The next prime is 2938714769. The reversal of 2938714740 is 474178392.

It can be written as a sum of positive squares in 4 ways, for example, as 52446564 + 2886268176 = 7242^2 + 53724^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 625591 + ... + 630270.

Almost surely, 22938714740 is an apocalyptic number.

2938714740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2938714740 is an abundant number, since it is smaller than the sum of its proper divisors (6661094388).

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

2938714740 is a wasteful number, since it uses less digits than its factorization.

2938714740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255889 (or 1255884 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2938714740 is about 54209.9136689960. The cubic root of 2938714740 is about 1432.3609652804.

The spelling of 2938714740 in words is "two billion, nine hundred thirty-eight million, seven hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1255861 2511722 3767583 5023444 6279305 7535166 11302749 12558610 15070332 16326193 18837915 22605498 25117220 32652386 37675830 45210996 48978579 56513745 65304772 75351660 81630965 97957158 113027490 146935737 163261930 195914316 226054980 244892895 293871474 326523860 489785790 587742948 734678685 979571580 1469357370 2938714740