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674256 = 243111277
BaseRepresentation
bin10100100100111010000
31021020220110
42210213100
5133034011
622241320
75505522
oct2444720
91236813
10674256
11420640
12286240
131a7b8b
14137a12
15d4ba6
hexa49d0

674256 has 40 divisors (see below), whose sum is σ = 1901664. Its totient is φ = 204160.

The previous prime is 674249. The next prime is 674263. The reversal of 674256 is 652476.

It is an interprime number because it is at equal distance from previous prime (674249) and next prime (674263).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

674256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 1166.

2674256 is an apocalyptic number.

674256 is a gapful number since it is divisible by the number (66) 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 674256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950832).

674256 is an abundant number, since it is smaller than the sum of its proper divisors (1227408).

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

674256 is a wasteful number, since it uses less digits than its factorization.

674256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 674256 is about 821.1309274409. The cubic root of 674256 is about 87.6882911246.

It can be divided in two parts, 67425 and 6, that multiplied together give a triangular number (404550 = T899).

The spelling of 674256 in words is "six hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1277 2554 3831 5108 7662 10216 14047 15324 20432 28094 30648 42141 56188 61296 84282 112376 168564 224752 337128 674256