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387441240 = 233524113397
BaseRepresentation
bin10111000101111…
…110001001011000
31000000001001110120
4113011332021120
51243141104430
6102240113240
712413124204
oct2705761130
91000031416
10387441240
1118977837a
12a9905820
1362365194
1439655b04
1524032610
hex1717e258

387441240 has 64 divisors (see below), whose sum is σ = 1167233760. Its totient is φ = 102881280.

The previous prime is 387441221. The next prime is 387441251. The reversal of 387441240 is 42144783.

It is a super-2 number, since 2×3874412402 = 300221428905475200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22222 + ... + 35618.

Almost surely, 2387441240 is an apocalyptic number.

387441240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583616880).

387441240 is an abundant number, since it is smaller than the sum of its proper divisors (779792520).

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

387441240 is a wasteful number, since it uses less digits than its factorization.

387441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 387441240 is about 19683.5271229523. The cubic root of 387441240 is about 729.0130153234.

The spelling of 387441240 in words is "three hundred eighty-seven million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 13397 14460 26794 28920 40191 53588 66985 80382 107176 133970 160764 200955 267940 321528 401910 535880 803820 1607640 3228677 6457354 9686031 12914708 16143385 19372062 25829416 32286770 38744124 48430155 64573540 77488248 96860310 129147080 193720620 387441240