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340677040 = 245111013833
BaseRepresentation
bin10100010011100…
…101000110110000
3212202001012001011
4110103211012300
51144203131130
653445520304
711304464344
oct2423450660
9782035034
10340677040
11165337780
1296113094
1355770862
1433361624
151ed9652a
hex144e51b0

340677040 has 80 divisors (see below), whose sum is σ = 872863776. Its totient is φ = 122624000.

The previous prime is 340677031. The next prime is 340677041. The reversal of 340677040 is 40776043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 340676993 and 340677011.

It is not an unprimeable number, because it can be changed into a prime (340677041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86964 + ... + 90796.

Almost surely, 2340677040 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 340677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436431888).

340677040 is an abundant number, since it is smaller than the sum of its proper divisors (532186736).

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

340677040 is a wasteful number, since it uses less digits than its factorization.

340677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 340677040 is about 18457.4386088644. The cubic root of 340677040 is about 698.4161742275.

The spelling of 340677040 in words is "three hundred forty million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 3833 4040 4444 5555 7666 8080 8888 11110 15332 17776 19165 22220 30664 38330 42163 44440 61328 76660 84326 88880 153320 168652 210815 306640 337304 387133 421630 674608 774266 843260 1548532 1686520 1935665 3097064 3373040 3871330 4258463 6194128 7742660 8516926 15485320 17033852 21292315 30970640 34067704 42584630 68135408 85169260 170338520 340677040