Search a number
-
+
397987344 = 2436149229
BaseRepresentation
bin10111101110001…
…100111000010000
31000201212212000000
4113232030320100
51303341043334
6103254130000
712601556646
oct2756147020
91021785000
10397987344
11194720867
12b1350900
13645b8491
143abdd196
1524e17299
hex17b8ce10

397987344 has 140 divisors (see below), whose sum is σ = 1168963500. Its totient is φ = 131196672.

The previous prime is 397987333. The next prime is 397987349. The reversal of 397987344 is 443789793.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 182250000 = 14688^2 + 13500^2 .

It is a super-3 number, since 3×3979873443 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (397987349) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1737822 + ... + 1738050.

Almost surely, 2397987344 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 397987344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584481750).

397987344 is an abundant number, since it is smaller than the sum of its proper divisors (770976156).

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

397987344 is a wasteful number, since it uses less digits than its factorization.

397987344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 397987344 is about 19949.6201467597. The cubic root of 397987344 is about 735.5684398958.

The spelling of 397987344 in words is "three hundred ninety-seven million, nine hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 229 243 298 324 432 447 458 486 596 648 687 729 894 916 972 1192 1296 1341 1374 1458 1788 1832 1944 2061 2384 2682 2748 2916 3576 3664 3888 4023 4122 5364 5496 5832 6183 7152 8046 8244 10728 10992 11664 12069 12366 16092 16488 18549 21456 24138 24732 32184 32976 34121 36207 37098 48276 49464 55647 64368 68242 72414 74196 96552 98928 102363 108621 111294 136484 144828 148392 166941 193104 204726 217242 222588 272968 289656 296784 307089 333882 409452 434484 445176 545936 579312 614178 667764 818904 868968 890352 921267 1228356 1335528 1637808 1737936 1842534 2456712 2671056 2763801 3685068 4913424 5527602 7370136 8291403 11055204 14740272 16582806 22110408 24874209 33165612 44220816 49748418 66331224 99496836 132662448 198993672 397987344