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398283640 = 235234761151
BaseRepresentation
bin10111101111010…
…101001101111000
31000202102220102221
4113233111031320
51303430034030
6103304333424
712604232536
oct2757251570
91022386387
10398283640
11194903437
12b1474274
13646902c1
143ac79156
1524e74e7a
hex17bd5378

398283640 has 128 divisors (see below), whose sum is σ = 977080320. Its totient is φ = 145728000.

The previous prime is 398283631. The next prime is 398283647. The reversal of 398283640 is 46382893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398283647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637565 + ... + 2637715.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2398283640 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 398283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

398283640 is an abundant number, since it is smaller than the sum of its proper divisors (578796680).

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

398283640 is a wasteful number, since it uses less digits than its factorization.

398283640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 398283640 is about 19957.0448714232. The cubic root of 398283640 is about 735.7509347466.

The spelling of 398283640 in words is "three hundred ninety-eight million, two hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 61 92 94 115 122 151 184 188 230 235 244 302 305 376 460 470 488 604 610 755 920 940 1081 1208 1220 1403 1510 1880 2162 2440 2806 2867 3020 3473 4324 5405 5612 5734 6040 6946 7015 7097 8648 9211 10810 11224 11468 13892 14030 14194 14335 17365 18422 21620 22936 27784 28060 28388 28670 34730 35485 36844 43240 46055 56120 56776 57340 65941 69460 70970 73688 92110 114680 131882 138920 141940 163231 184220 211853 263764 283880 326462 329705 368440 423706 432917 527528 652924 659410 816155 847412 865834 1059265 1305848 1318820 1632310 1694824 1731668 2118530 2164585 2637640 3264620 3463336 4237060 4329170 6529240 8474120 8658340 9957091 17316680 19914182 39828364 49785455 79656728 99570910 199141820 398283640