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268435440 = 2432571317241
BaseRepresentation
bin11111111111111…
…11111111110000
3200201002221012100
433333333333300
51022204413230
642345300400
76436443420
oct1777777760
9621087170
10268435440
11128585579
1275a94700
13437c8950
1427918480
1518876660
hexffffff0

268435440 has 480 divisors, whose sum is σ = 1179674496. Its totient is φ = 53084160.

The previous prime is 268435399. The next prime is 268435459. The reversal of 268435440 is 44534862.

268435440 is a `hidden beast` number, since 268 + 4 + 354 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 268435395 and 268435404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113720 + ... + 1113960.

Almost surely, 2268435440 is an apocalyptic number.

268435440 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 268435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589837248).

268435440 is an abundant number, since it is smaller than the sum of its proper divisors (911239056).

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

268435440 is a wasteful number, since it uses less digits than its factorization.

268435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 268435440 is about 16383.9995117187. Note that the first 3 decimals coincide. The cubic root of 268435440 is about 645.0795647296.

The spelling of 268435440 in words is "two hundred sixty-eight million, four hundred thirty-five thousand, four hundred forty".