Search a number
-
+
1940978352 = 243292296089
BaseRepresentation
bin111001110110000…
…1111101010110000
312000021021220202010
41303230033222300
512433342301402
6520333522520
766046021005
oct16354175260
95007256663
101940978352
119066a4845
12462043440
1324c180801
14145ad38ac
15b5604a6c
hex73b0fab0

1940978352 has 80 divisors (see below), whose sum is σ = 5210604000. Its totient is φ = 621852672.

The previous prime is 1940978267. The next prime is 1940978359. The reversal of 1940978352 is 2538790491.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1940978359) 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 15 ways as a sum of consecutive naturals, for example, 315724 + ... + 321812.

It is an arithmetic number, because the mean of its divisors is an integer number (65132550).

Almost surely, 21940978352 is an apocalyptic number.

1940978352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940978352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605302000).

1940978352 is an abundant number, since it is smaller than the sum of its proper divisors (3269625648).

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

1940978352 is a wasteful number, since it uses less digits than its factorization.

1940978352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1940978352 is about 44056.5358601876. The cubic root of 1940978352 is about 1247.4033246502.

The spelling of 1940978352 in words is "one billion, nine hundred forty million, nine hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 229 232 348 458 464 687 696 916 1374 1392 1832 2748 3664 5496 6089 6641 10992 12178 13282 18267 19923 24356 26564 36534 39846 48712 53128 73068 79692 97424 106256 146136 159384 176581 292272 318768 353162 529743 706324 1059486 1394381 1412648 2118972 2788762 2825296 4183143 4237944 5577524 8366286 8475888 11155048 16732572 22310096 33465144 40437049 66930288 80874098 121311147 161748196 242622294 323496392 485244588 646992784 970489176 1940978352