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387984040 = 235291931733
BaseRepresentation
bin10111001000000…
…010101010101000
31000001001122001021
4113020002222220
51243310442130
6102255502224
712420544543
oct2710025250
91001048037
10387984040
1118a009174
12a9b27974
13624c5272
143975785a
15240dd37a
hex17202aa8

387984040 has 64 divisors (see below), whose sum is σ = 908269200. Its totient is φ = 148979712.

The previous prime is 387984017. The next prime is 387984041. The reversal of 387984040 is 40489783.

It can be written as a sum of positive squares in 8 ways, for example, as 110628324 + 277355716 = 10518^2 + 16654^2 .

It is not an unprimeable number, because it can be changed into a prime (387984041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223014 + ... + 224746.

Almost surely, 2387984040 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 387984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454134600).

387984040 is an abundant number, since it is smaller than the sum of its proper divisors (520285160).

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

387984040 is a wasteful number, since it uses less digits than its factorization.

387984040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 387984040 is about 19697.3104763061. The cubic root of 387984040 is about 729.3533022914.

The spelling of 387984040 in words is "three hundred eighty-seven million, nine hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 193 232 290 386 580 772 965 1160 1544 1733 1930 3466 3860 5597 6932 7720 8665 11194 13864 17330 22388 27985 34660 44776 50257 55970 69320 100514 111940 201028 223880 251285 334469 402056 502570 668938 1005140 1337876 1672345 2010280 2675752 3344690 6689380 9699601 13378760 19399202 38798404 48498005 77596808 96996010 193992020 387984040