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340332444 = 2232431092017
BaseRepresentation
bin10100010010010…
…000111110011100
3212201101200100100
4110102100332130
51144111114234
653434301100
711301530604
oct2422207634
9781350310
10340332444
11165121891
1295b87790
135567ca5a
14332b1c04
151ed29399
hex14490f9c

340332444 has 72 divisors (see below), whose sum is σ = 888807920. Its totient is φ = 109734912.

The previous prime is 340332437. The next prime is 340332457. The reversal of 340332444 is 444233043.

It is a congruent number.

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, 167724 + ... + 169740.

Almost surely, 2340332444 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 340332444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444403960).

340332444 is an abundant number, since it is smaller than the sum of its proper divisors (548475476).

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

340332444 is a wasteful number, since it uses less digits than its factorization.

340332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 340332444 is about 18448.1013657232. The cubic root of 340332444 is about 698.1806113297.

Adding to 340332444 its reverse (444233043), we get a palindrome (784565487).

The spelling of 340332444 in words is "three hundred forty million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 109 129 172 218 258 327 387 436 516 654 774 981 1308 1548 1962 2017 3924 4034 4687 6051 8068 9374 12102 14061 18153 18748 24204 28122 36306 42183 56244 72612 84366 86731 168732 173462 219853 260193 346924 439706 520386 659559 780579 879412 1040772 1319118 1561158 1978677 2638236 3122316 3957354 7914708 9453679 18907358 28361037 37814716 56722074 85083111 113444148 170166222 340332444