Search a number
-
+
1940310414 = 232737439679
BaseRepresentation
bin111001110100110…
…1100100110001110
312000020000222111200
41303221230212032
512433204413124
6520311330330
766040236450
oct16351544616
95006028450
101940310414
11906288a29
124619809a6
1324bca8793
1414599c2d0
15b5521bc9
hex73a6c98e

1940310414 has 96 divisors (see below), whose sum is σ = 5049707520. Its totient is φ = 526792896.

The previous prime is 1940310413. The next prime is 1940310439. The reversal of 1940310414 is 4140130491.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940310413) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 195627 + ... + 205305.

It is an arithmetic number, because the mean of its divisors is an integer number (52601120).

Almost surely, 21940310414 is an apocalyptic number.

1940310414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940310414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524853760).

1940310414 is an abundant number, since it is smaller than the sum of its proper divisors (3109397106).

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

1940310414 is a wasteful number, since it uses less digits than its factorization.

1940310414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1940310414 is about 44048.9547435578. The cubic root of 1940310414 is about 1247.2602209292.

The spelling of 1940310414 in words is "one billion, nine hundred forty million, three hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 43 63 74 86 111 126 129 222 258 259 301 333 387 518 602 666 774 777 903 1554 1591 1806 2331 2709 3182 4662 4773 5418 9546 9679 11137 14319 19358 22274 28638 29037 33411 58074 66822 67753 87111 100233 135506 174222 200466 203259 358123 406518 416197 609777 716246 832394 1074369 1219554 1248591 2148738 2497182 2506861 2913379 3223107 3745773 5013722 5826758 6446214 7491546 7520583 8740137 15041166 15399289 17480274 22561749 26220411 30798578 45123498 46197867 52440822 92395734 107795023 138593601 215590046 277187202 323385069 646770138 970155207 1940310414