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397317984 = 2537631937
BaseRepresentation
bin10111101011101…
…001011101100000
31000200121211210220
4113223221131200
51303203133414
6103231523040
712563101320
oct2753513540
91020554726
10397317984
11194303978
12b1089480
13644128cb
143aaa7280
1524d33ca9
hex17ae9760

397317984 has 96 divisors (see below), whose sum is σ = 1195117056. Its totient is φ = 113218560.

The previous prime is 397317961. The next prime is 397317989. The reversal of 397317984 is 489713793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397317989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423564 + ... + 424500.

It is an arithmetic number, because the mean of its divisors is an integer number (12449136).

Almost surely, 2397317984 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 397317984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597558528).

397317984 is an abundant number, since it is smaller than the sum of its proper divisors (797799072).

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

397317984 is a wasteful number, since it uses less digits than its factorization.

397317984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 397317984 is about 19932.8368277072. The cubic root of 397317984 is about 735.1558334952.

The spelling of 397317984 in words is "three hundred ninety-seven million, three hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 631 672 937 1262 1874 1893 2524 2811 3748 3786 4417 5048 5622 6559 7496 7572 8834 10096 11244 13118 13251 14992 15144 17668 19677 20192 22488 26236 26502 29984 30288 35336 39354 44976 52472 53004 60576 70672 78708 89952 104944 106008 141344 157416 209888 212016 314832 424032 591247 629664 1182494 1773741 2364988 3547482 4138729 4729976 7094964 8277458 9459952 12416187 14189928 16554916 18919904 24832374 28379856 33109832 49664748 56759712 66219664 99329496 132439328 198658992 397317984