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256134340 = 225711592819
BaseRepresentation
bin11110100010001…
…00110011000100
3122211221222021001
433101010303010
51011032244330
641225503044
76230051230
oct1721046304
9584858231
10256134340
11121643580
1271941a84
13410ac8a7
14260355c0
15177469ca
hexf444cc4

256134340 has 96 divisors (see below), whose sum is σ = 682214400. Its totient is φ = 78453120.

The previous prime is 256134331. The next prime is 256134343. The reversal of 256134340 is 43431652.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a cake number, because a cake can be divided into 256134340 parts by 1154 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 256134299 and 256134308.

It is not an unprimeable number, because it can be changed into a prime (256134343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89451 + ... + 92269.

It is an arithmetic number, because the mean of its divisors is an integer number (7106400).

Almost surely, 2256134340 is an apocalyptic number.

256134340 is a gapful number since it is divisible by the number (20) 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 256134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341107200).

256134340 is an abundant number, since it is smaller than the sum of its proper divisors (426080060).

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

256134340 is a wasteful number, since it uses less digits than its factorization.

256134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 256134340 is about 16004.1975743865. The cubic root of 256134340 is about 635.0714698320.

Adding to 256134340 its reverse (43431652), we get a palindrome (299565992).

The spelling of 256134340 in words is "two hundred fifty-six million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 590 649 770 826 1180 1298 1540 1652 2065 2596 2819 3245 4130 4543 5638 6490 8260 9086 11276 12980 14095 18172 19733 22715 28190 31009 39466 45430 56380 62018 78932 90860 98665 124036 155045 166321 197330 217063 310090 332642 394660 434126 620180 665284 831605 868252 1085315 1164247 1663210 1829531 2170630 2328494 3326420 3659062 4341260 4656988 5821235 7318124 9147655 11642470 12806717 18295310 23284940 25613434 36590620 51226868 64033585 128067170 256134340