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268443384 = 233113132801
BaseRepresentation
bin10000000000000…
…001111011111000
3200201010100002120
4100000001323320
51022210142014
642345401240
76436505526
oct2000017370
9621110076
10268443384
11128590540
1275a99220
13437cc451
142791b316
1518878ba9
hex10001ef8

268443384 has 64 divisors (see below), whose sum is σ = 755758080. Its totient is φ = 78720000.

The previous prime is 268443361. The next prime is 268443397. The reversal of 268443384 is 483344862.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8217 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (11808720).

Almost surely, 2268443384 is an apocalyptic number.

268443384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268443384 is an abundant number, since it is smaller than the sum of its proper divisors (487314696).

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

268443384 is a wasteful number, since it uses less digits than its factorization.

268443384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32852 (or 32848 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 268443384 is about 16384.2419415730. The cubic root of 268443384 is about 645.0859280989.

The spelling of 268443384 in words is "two hundred sixty-eight million, four hundred forty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 32801 65602 98403 131204 196806 262408 360811 393612 721622 787224 1016831 1082433 1443244 2033662 2164866 2886488 3050493 4067324 4329732 6100986 8134648 8659464 11185141 12201972 22370282 24403944 33555423 44740564 67110846 89481128 134221692 268443384