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268432 = 2419883
BaseRepresentation
bin1000001100010010000
3111122012221
41001202100
532042212
65430424
72165413
oct1014220
9448187
10268432
1117374a
1210b414
1395248
146db7a
1554807
hex41890

268432 has 20 divisors (see below), whose sum is σ = 548080. Its totient is φ = 127008.

The previous prime is 268403. The next prime is 268439. The reversal of 268432 is 234862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 268397 and 268406.

It is not an unprimeable number, because it can be changed into a prime (268439) by changing a digit.

268432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (27404).

2268432 is an apocalyptic number.

It is an amenable number.

268432 is an abundant number, since it is smaller than the sum of its proper divisors (279648).

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

268432 is a wasteful number, since it uses less digits than its factorization.

268432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 268432 is about 518.1042366165. The cubic root of 268432 is about 64.5076809153.

The spelling of 268432 in words is "two hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 883 1766 3532 7064 14128 16777 33554 67108 134216 268432