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387640240 = 24513419091
BaseRepresentation
bin10111000110101…
…110101110110000
31000000102011102221
4113012232232300
51243213441430
6102244250424
712414613321
oct2706565660
91000364387
10387640240
111898a3939
12a99a0a14
1362404930
14396a8448
152407157a
hex171aebb0

387640240 has 80 divisors (see below), whose sum is σ = 994373856. Its totient is φ = 139622400.

The previous prime is 387640217. The next prime is 387640241. The reversal of 387640240 is 42046783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 387640196 and 387640205.

It is not an unprimeable number, because it can be changed into a prime (387640241) 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, 38095 + ... + 47185.

Almost surely, 2387640240 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 387640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497186928).

387640240 is an abundant number, since it is smaller than the sum of its proper divisors (606733616).

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

387640240 is a wasteful number, since it uses less digits than its factorization.

387640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 387640240 is about 19688.5814623604. The cubic root of 387640240 is about 729.1378073730.

The spelling of 387640240 in words is "three hundred eighty-seven million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 9091 10660 18182 21320 36364 42640 45455 72728 90910 118183 145456 181820 236366 363640 372731 472732 590915 727280 745462 945464 1181830 1490924 1863655 1890928 2363660 2981848 3727310 4727320 4845503 5963696 7454620 9454640 9691006 14909240 19382012 24227515 29818480 38764024 48455030 77528048 96910060 193820120 387640240