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274068 = 223223331
BaseRepresentation
bin1000010111010010100
3111220221200
41002322110
532232233
65512500
72221014
oct1027224
9456850
10274068
11177a03
12112730
1397992
1471c44
1556313
hex42e94

274068 has 36 divisors (see below), whose sum is σ = 725088. Its totient is φ = 87120.

The previous prime is 274061. The next prime is 274069. The reversal of 274068 is 860472.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2740682 = 150226537248, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274068.

It is not an unprimeable number, because it can be changed into a prime (274061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 993.

2274068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362544).

274068 is an abundant number, since it is smaller than the sum of its proper divisors (451020).

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

274068 is a wasteful number, since it uses less digits than its factorization.

274068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 274068 is about 523.5150427638. The cubic root of 274068 is about 64.9560254834.

It can be divided in two parts, 27 and 4068, that added together give a triangular number (4095 = T90).

The spelling of 274068 in words is "two hundred seventy-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 331 414 662 828 993 1324 1986 2979 3972 5958 7613 11916 15226 22839 30452 45678 68517 91356 137034 274068