Search a number
-
+
388042740 = 223252155793
BaseRepresentation
bin10111001000010…
…000111111110100
31000001011121120100
4113020100333310
51243314331430
6102301034100
712421210641
oct2710207764
91001147510
10388042740
1118a049288
12a9b55930
1362515bb7
1439770dc8
1524100960
hex17210ff4

388042740 has 36 divisors (see below), whose sum is σ = 1177063524. Its totient is φ = 103478016.

The previous prime is 388042727. The next prime is 388042747. The reversal of 388042740 is 47240883.

388042740 is a `hidden beast` number, since 388 + 0 + 4 + 274 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 279424656 = 10422^2 + 16716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 388042695 and 388042704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388042747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077717 + ... + 1078076.

It is an arithmetic number, because the mean of its divisors is an integer number (32696209).

Almost surely, 2388042740 is an apocalyptic number.

388042740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

388042740 is an abundant number, since it is smaller than the sum of its proper divisors (789020784).

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

388042740 is a wasteful number, since it uses less digits than its factorization.

388042740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155808 (or 2155803 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 388042740 is about 19698.8004710947. The cubic root of 388042740 is about 729.3900829107.

The spelling of 388042740 in words is "three hundred eighty-eight million, forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2155793 4311586 6467379 8623172 10778965 12934758 19402137 21557930 25869516 32336895 38804274 43115860 64673790 77608548 97010685 129347580 194021370 388042740