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256550340 = 223510341513
BaseRepresentation
bin11110100101010…
…10010111000100
3122212202002220110
433102222113010
51011134102330
641242433020
76233433114
oct1722522704
9585662813
10256550340
111218a8082
1271b02770
13411c7047
1426103044
15177c9db0
hexf4aa5c4

256550340 has 48 divisors (see below), whose sum is σ = 725332608. Its totient is φ = 67747584.

The previous prime is 256550317. The next prime is 256550347. The reversal of 256550340 is 43055652.

256550340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 256550298 and 256550307.

It is not an unprimeable number, because it can be changed into a prime (256550347) 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, 14577 + ... + 26936.

It is an arithmetic number, because the mean of its divisors is an integer number (15111096).

Almost surely, 2256550340 is an apocalyptic number.

256550340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256550340 is an abundant number, since it is smaller than the sum of its proper divisors (468782268).

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

256550340 is a wasteful number, since it uses less digits than its factorization.

256550340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41628 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 256550340 is about 16017.1888919373. The cubic root of 256550340 is about 635.4151004864.

The spelling of 256550340 in words is "two hundred fifty-six million, five hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 41513 83026 124539 166052 207565 249078 415130 498156 622695 830260 1245390 2490780 4275839 8551678 12827517 17103356 21379195 25655034 42758390 51310068 64137585 85516780 128275170 256550340