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340202340 = 2232510118713
BaseRepresentation
bin10100010001110…
…001001101100100
3212201011001212200
4110101301031210
51144042433330
653431414500
711300446362
oct2421611544
9781131780
10340202340
11165043065
1295b24430
135563577a
143327a632
151ed00a60
hex14471364

340202340 has 72 divisors (see below), whose sum is σ = 1042220088. Its totient is φ = 89817600.

The previous prime is 340202329. The next prime is 340202341. The reversal of 340202340 is 43202043.

340202340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165328164 + 174874176 = 12858^2 + 13224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (340202341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8824 + ... + 27536.

It is an arithmetic number, because the mean of its divisors is an integer number (14475279).

Almost surely, 2340202340 is an apocalyptic number.

340202340 is a gapful number since it is divisible by the number (30) 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 340202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521110044).

340202340 is an abundant number, since it is smaller than the sum of its proper divisors (702017748).

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

340202340 is a wasteful number, since it uses less digits than its factorization.

340202340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18829 (or 18824 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340202340 is about 18444.5748121229. The cubic root of 340202340 is about 698.0916319907.

Adding to 340202340 its reverse (43202043), we get a palindrome (383404383).

The spelling of 340202340 in words is "three hundred forty million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 18713 37426 56139 74852 93565 112278 168417 187130 224556 280695 336834 374260 561390 673668 842085 1122780 1684170 1890013 3368340 3780026 5670039 7560052 9450065 11340078 17010117 18900130 22680156 28350195 34020234 37800260 56700390 68040468 85050585 113400780 170101170 340202340