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397536984 = 233413411151
BaseRepresentation
bin10111101100011…
…110111011011000
31000201000222020000
4113230132323120
51303232140414
6103240333000
712565002645
oct2754367330
91021028200
10397536984
11194443469
12b1174160
136448b4b0
143ab22dcc
1524d78b09
hex17b1eed8

397536984 has 160 divisors (see below), whose sum is σ = 1229437440. Its totient is φ = 119232000.

The previous prime is 397536973. The next prime is 397536989. The reversal of 397536984 is 489635793.

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

It is a self number, because there is not a number n which added to its sum of digits gives 397536984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397536989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344809 + ... + 345959.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2397536984 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 397536984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614718720).

397536984 is an abundant number, since it is smaller than the sum of its proper divisors (831900456).

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

397536984 is a wasteful number, since it uses less digits than its factorization.

397536984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1210 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 397536984 is about 19938.3295187937. The cubic root of 397536984 is about 735.2908802859.

The spelling of 397536984 in words is "three hundred ninety-seven million, five hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 81 82 104 108 117 123 156 162 164 216 234 246 312 324 328 351 369 468 492 533 648 702 738 936 984 1053 1066 1107 1151 1404 1476 1599 2106 2132 2214 2302 2808 2952 3198 3321 3453 4212 4264 4428 4604 4797 6396 6642 6906 8424 8856 9208 9594 10359 12792 13284 13812 14391 14963 19188 20718 26568 27624 28782 29926 31077 38376 41436 43173 44889 47191 57564 59852 62154 82872 86346 89778 93231 94382 115128 119704 124308 134667 141573 172692 179556 186462 188764 248616 269334 283146 345384 359112 372924 377528 404001 424719 538668 566292 613483 745848 808002 849438 1077336 1132584 1212003 1226966 1274157 1616004 1698876 1840449 2424006 2453932 2548314 3232008 3397752 3680898 3822471 4848012 4907864 5096628 5521347 7361796 7644942 9696024 10193256 11042694 14723592 15289884 16564041 22085388 30579768 33128082 44170776 49692123 66256164 99384246 132512328 198768492 397536984