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340774146 = 232171975653
BaseRepresentation
bin10100010011111…
…100110100000010
3212202020010020200
4110103330310002
51144214233041
653451550030
711305350426
oct2423746402
9782203220
10340774146
111653a3729
129615b316
13557a5b0b
1433388b86
151edb51b6
hex144fcd02

340774146 has 48 divisors (see below), whose sum is σ = 785883384. Its totient is φ = 106348032.

The previous prime is 340774079. The next prime is 340774151. The reversal of 340774146 is 641477043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 323460225 + 17313921 = 17985^2 + 4161^2 .

It is a super-2 number, since 2×3407741462 = 232254037164058632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 340774146.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57456 + ... + 63108.

Almost surely, 2340774146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340774146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392941692).

340774146 is an abundant number, since it is smaller than the sum of its proper divisors (445109238).

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

340774146 is a wasteful number, since it uses less digits than its factorization.

340774146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 340774146 is about 18460.0689597845. The cubic root of 340774146 is about 698.4825263737.

The spelling of 340774146 in words is "three hundred forty million, seven hundred seventy-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 591 1182 1773 3349 3546 5653 6698 10047 11306 16959 20094 30141 33918 50877 60282 96101 101754 192202 288303 576606 864909 1113641 1729818 2227282 3340923 6681846 10022769 18931897 20045538 37863794 56795691 113591382 170387073 340774146