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256435320 = 23354152121
BaseRepresentation
bin11110100100011…
…10010001111000
3122212112021010110
433102032101320
51011121412240
641240144320
76232443561
oct1722162170
9585467113
10256435320
11121829719
1271a680a0
134118689b
14260b3168
15177a5c80
hexf48e478

256435320 has 64 divisors (see below), whose sum is σ = 788084640. Its totient is φ = 66713600.

The previous prime is 256435247. The next prime is 256435321. The reversal of 256435320 is 23534652.

256435320 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (256435321) 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, 21141 + ... + 30980.

Almost surely, 2256435320 is an apocalyptic number.

256435320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256435320 is an abundant number, since it is smaller than the sum of its proper divisors (531649320).

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

256435320 is a wasteful number, since it uses less digits than its factorization.

256435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52176 (or 52172 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 256435320 is about 16013.5979717239. The cubic root of 256435320 is about 635.3201270922.

Adding to 256435320 its reverse (23534652), we get a palindrome (279969972).

The spelling of 256435320 in words is "two hundred fifty-six million, four hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 52121 104242 156363 208484 260605 312726 416968 521210 625452 781815 1042420 1250904 1563630 2084840 2136961 3127260 4273922 6254520 6410883 8547844 10684805 12821766 17095688 21369610 25643532 32054415 42739220 51287064 64108830 85478440 128217660 256435320