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268346988 = 223271326301
BaseRepresentation
bin11111111111010…
…10011001101100
3200200221102212100
433333222121230
51022144100423
642343335100
76435624510
oct1777523154
9620842770
10268346988
11128525078
1275a51490
1343797600
14278d4140
151885a343
hexffea66c

268346988 has 108 divisors (see below), whose sum is σ = 839577648. Its totient is φ = 70761600.

The previous prime is 268346983. The next prime is 268347011. The reversal of 268346988 is 889643862.

268346988 is a `hidden beast` number, since 26 + 83 + 469 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (268346983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39438 + ... + 45738.

Almost surely, 2268346988 is an apocalyptic number.

268346988 is a gapful number since it is divisible by the number (28) 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 268346988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419788824).

268346988 is an abundant number, since it is smaller than the sum of its proper divisors (571230660).

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

268346988 is a wasteful number, since it uses less digits than its factorization.

268346988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6326 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 268346988 is about 16381.2999484168. The cubic root of 268346988 is about 645.0087036864.

The spelling of 268346988 in words is "two hundred sixty-eight million, three hundred forty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 6301 7098 10647 12602 14196 18903 21294 25204 37806 42588 44107 56709 75612 81913 88214 113418 132321 163826 176428 226836 245739 264642 327652 396963 491478 529284 573391 737217 793926 982956 1064869 1146782 1474434 1587852 1720173 2129738 2293564 2948868 3194607 3440346 4259476 5160519 6389214 6880692 7454083 9583821 10321038 12778428 14908166 19167642 20642076 22362249 29816332 38335284 44724498 67086747 89448996 134173494 268346988