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397141248 = 2837312383
BaseRepresentation
bin10111101010111…
…110010100000000
31000200021212101010
4113222332110000
51303132004443
6103224040520
712561434130
oct2752762400
91020255333
10397141248
111941a3109
12b1003140
136438032a
143aa5cac0
1524ceb733
hex17abe500

397141248 has 144 divisors (see below), whose sum is σ = 1247461376. Its totient is φ = 109762560.

The previous prime is 397141231. The next prime is 397141289. The reversal of 397141248 is 842141793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165465 + ... + 167847.

Almost surely, 2397141248 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 397141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623730688).

397141248 is an abundant number, since it is smaller than the sum of its proper divisors (850320128).

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

397141248 is a wasteful number, since it uses less digits than its factorization.

397141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2426 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 397141248 is about 19928.4030469077. The cubic root of 397141248 is about 735.0468126971.

The spelling of 397141248 in words is "three hundred ninety-seven million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2383 2604 2688 2976 3472 3968 4766 5208 5376 5952 6944 7149 7936 9532 10416 11904 13888 14298 16681 19064 20832 23808 27776 28596 33362 38128 41664 50043 55552 57192 66724 73873 76256 83328 100086 114384 133448 147746 152512 166656 200172 221619 228768 266896 295492 305024 400344 443238 457536 517111 533792 590984 610048 800688 886476 915072 1034222 1067584 1181968 1551333 1601376 1772952 1830144 2068444 2135168 2363936 3102666 3202752 3545904 4136888 4270336 4727872 6205332 6405504 7091808 8273776 9455744 12410664 12811008 14183616 16547552 18911488 24821328 28367232 33095104 49642656 56734464 66190208 99285312 132380416 198570624 397141248