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340357000 = 23531720021
BaseRepresentation
bin10100010010010…
…110111110001000
3212201102221000211
4110102112332020
51144112411000
653435010504
711301662314
oct2422267610
9781387024
10340357000
11165139285
1295b99a34
135568ac99
14332bab44
151ed317ba
hex14496f88

340357000 has 64 divisors (see below), whose sum is σ = 843326640. Its totient is φ = 128128000.

The previous prime is 340356953. The next prime is 340357001. The reversal of 340357000 is 753043.

It can be written as a sum of positive squares in 8 ways, for example, as 544644 + 339812356 = 738^2 + 18434^2 .

It is not an unprimeable number, because it can be changed into a prime (340357001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6990 + ... + 27010.

Almost surely, 2340357000 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 340357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421663320).

340357000 is an abundant number, since it is smaller than the sum of its proper divisors (502969640).

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

340357000 is a wasteful number, since it uses less digits than its factorization.

340357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20059 (or 20045 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 340357000 is about 18448.7668964622. The cubic root of 340357000 is about 698.1974028631.

The spelling of 340357000 in words is "three hundred forty million, three hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 20021 40042 80084 100105 160168 200210 340357 400420 500525 680714 800840 1001050 1361428 1701785 2002100 2502625 2722856 3403570 4004200 5005250 6807140 8508925 10010500 13614280 17017850 20021000 34035700 42544625 68071400 85089250 170178500 340357000