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274432086 = 232192113803
BaseRepresentation
bin10000010110111…
…000000001010110
3201010101121001100
4100112320001112
51030223311321
643122010530
76541430355
oct2026700126
9633347040
10274432086
11130a00985
1277aa6a46
1344b18266
142863999c
151915d326
hex105b8056

274432086 has 48 divisors (see below), whose sum is σ = 629029440. Its totient is φ = 86229360.

The previous prime is 274432079. The next prime is 274432087. The reversal of 274432086 is 680234472.

274432086 is a `hidden beast` number, since 2 + 7 + 443 + 208 + 6 = 666.

It is a super-2 number, since 2×2744320862 = 150625939652622792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 274432086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274432087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70261 + ... + 74063.

It is an arithmetic number, because the mean of its divisors is an integer number (13104780).

Almost surely, 2274432086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274432086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314514720).

274432086 is an abundant number, since it is smaller than the sum of its proper divisors (354597354).

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

274432086 is a wasteful number, since it uses less digits than its factorization.

274432086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 274432086 is about 16565.9918507767. The cubic root of 274432086 is about 649.8477639532.

The spelling of 274432086 in words is "two hundred seventy-four million, four hundred thirty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 211 342 422 633 1266 1899 3798 3803 4009 7606 8018 11409 12027 22818 24054 34227 36081 68454 72162 72257 144514 216771 433542 650313 802433 1300626 1604866 2407299 4814598 7221897 14443794 15246227 30492454 45738681 91477362 137216043 274432086