Search a number
-
+
387199068 = 223297115671
BaseRepresentation
bin10111000101000…
…011000001011100
3222222120202021020
4113011003001130
51243110332233
6102231004140
712411065154
oct2705030134
9888522236
10387199068
11189622433
12a9809650
13622abb99
14395d1764
1523ed59b3
hex1714305c

387199068 has 48 divisors (see below), whose sum is σ = 947842560. Its totient is φ = 122852800.

The previous prime is 387199063. The next prime is 387199069. The reversal of 387199068 is 860991783.

It is a self number, because there is not a number n which added to its sum of digits gives 387199068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387199061) 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, 16873 + ... + 32543.

It is an arithmetic number, because the mean of its divisors is an integer number (19746720).

Almost surely, 2387199068 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 387199068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473921280).

387199068 is an abundant number, since it is smaller than the sum of its proper divisors (560643492).

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

387199068 is a wasteful number, since it uses less digits than its factorization.

387199068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15778 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 387199068 is about 19677.3745199912. The cubic root of 387199068 is about 728.8610926418.

The spelling of 387199068 in words is "three hundred eighty-seven million, one hundred ninety-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 2059 4118 6177 8236 12354 15671 24708 31342 47013 62684 94026 188052 454459 908918 1112641 1363377 1817836 2225282 2726754 3337923 4450564 5453508 6675846 13351692 32266589 64533178 96799767 129066356 193599534 387199068