Search a number
-
+
1940292328 = 2313232983337
BaseRepresentation
bin111001110100110…
…1000001011101000
312000020000001200211
41303221220023220
512433203323303
6520311110504
766040132642
oct16351501350
95006001624
101940292328
11906276387
12461972434
1324bca0490
14145995892
15b551b66d
hex73a682e8

1940292328 has 128 divisors (see below), whose sum is σ = 4292870400. Its totient is φ = 814657536.

The previous prime is 1940292301. The next prime is 1940292371. The reversal of 1940292328 is 8232920491.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5757376 + ... + 5757712.

It is an arithmetic number, because the mean of its divisors is an integer number (33538050).

Almost surely, 21940292328 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 1940292328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1940292328 is an abundant number, since it is smaller than the sum of its proper divisors (2352578072).

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

1940292328 is a wasteful number, since it uses less digits than its factorization.

1940292328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1940292328 is about 44048.7494487641. The cubic root of 1940292328 is about 1247.2563456011.

The spelling of 1940292328 in words is "one billion, nine hundred forty million, two hundred ninety-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 29 46 52 58 83 92 104 116 166 184 232 299 332 337 377 598 664 667 674 754 1079 1196 1334 1348 1508 1909 2158 2392 2407 2668 2696 3016 3818 4316 4381 4814 5336 7636 7751 8632 8671 8762 9628 9773 15272 15502 17342 17524 19256 19546 24817 27971 31004 31291 34684 35048 39092 49634 55361 55942 62008 62582 69368 78184 99268 100763 110722 111884 125164 127049 198536 201526 221444 223768 224779 250328 254098 363623 403052 442888 449558 508196 643333 719693 727246 806104 811159 899116 1016392 1286666 1439386 1454492 1622318 1798232 2573332 2878772 2908984 2922127 3244636 5146664 5757544 5844254 6489272 8363329 10545067 11688508 16726658 18656657 21090134 23377016 33453316 37313314 42180268 66906632 74626628 84360536 149253256 242536541 485073082 970146164 1940292328