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268378380 = 22335496997
BaseRepresentation
bin11111111111100…
…10000100001100
3200201000000221000
433333302010030
51022201102010
642344140300
76436115154
oct1777620414
9621000830
10268378380
11128546716
1275a67690
13437a899a
1427901764
15188647c0
hexfff210c

268378380 has 48 divisors (see below), whose sum is σ = 834956640. Its totient is φ = 71567424.

The previous prime is 268378361. The next prime is 268378381. The reversal of 268378380 is 83873862.

268378380 is a `hidden beast` number, since 268 + 3 + 7 + 8 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268378381) 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, 247959 + ... + 249038.

It is an arithmetic number, because the mean of its divisors is an integer number (17394930).

Almost surely, 2268378380 is an apocalyptic number.

268378380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268378380 is an abundant number, since it is smaller than the sum of its proper divisors (566578260).

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

268378380 is a wasteful number, since it uses less digits than its factorization.

268378380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497015 (or 497007 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 268378380 is about 16382.2580861125. The cubic root of 268378380 is about 645.0338543615.

The spelling of 268378380 in words is "two hundred sixty-eight million, three hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 496997 993994 1490991 1987988 2484985 2981982 4472973 4969970 5963964 7454955 8945946 9939940 13418919 14909910 17891892 22364865 26837838 29819820 44729730 53675676 67094595 89459460 134189190 268378380