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674040 = 233541137
BaseRepresentation
bin10100100100011111000
31021020121110
42210203320
5133032130
622240320
75505063
oct2444370
91236543
10674040
11420464
122860a0
131a7a53
141378da
15d4ab0
hexa48f8

674040 has 64 divisors (see below), whose sum is σ = 2086560. Its totient is φ = 174080.

The previous prime is 674017. The next prime is 674057. The reversal of 674040 is 40476.

It is a Cunningham number, because it is equal to 8212-1.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 673998 and 674016.

It is a congruent number.

It is an unprimeable number.

674040 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 15 ways as a sum of consecutive naturals, for example, 4852 + ... + 4988.

2674040 is an apocalyptic number.

674040 is a gapful number since it is divisible by the number (60) 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 674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280).

674040 is an abundant number, since it is smaller than the sum of its proper divisors (1412520).

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

674040 is a wasteful number, since it uses less digits than its factorization.

674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 674040 is about 820.9993909864. Note that the first 3 decimals coincide. The cubic root of 674040 is about 87.6789263859.

The spelling of 674040 in words is "six hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 137 164 205 246 274 328 410 411 492 548 615 685 820 822 984 1096 1230 1370 1640 1644 2055 2460 2740 3288 4110 4920 5480 5617 8220 11234 16440 16851 22468 28085 33702 44936 56170 67404 84255 112340 134808 168510 224680 337020 674040