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2342344340 = 225723371807
BaseRepresentation
bin1000101110011101…
…0101011010010100
320001020112102101002
42023213111122110
514244120004330
61024232322432
7112021412150
oct21347253224
96036472332
102342344340
11aa2212a76
12554543418
132b437ca8b
14183132060
15da987e45
hex8b9d5694

2342344340 has 48 divisors (see below), whose sum is σ = 5645832192. Its totient is φ = 799631616.

The previous prime is 2342344331. The next prime is 2342344351. The reversal of 2342344340 is 434432432.

2342344340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3284 + ... + 68523.

It is an arithmetic number, because the mean of its divisors is an integer number (117621504).

Almost surely, 22342344340 is an apocalyptic number.

2342344340 is a gapful number since it is divisible by the number (20) 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 2342344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822916096).

2342344340 is an abundant number, since it is smaller than the sum of its proper divisors (3303487852).

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

2342344340 is a wasteful number, since it uses less digits than its factorization.

2342344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72056 (or 72054 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 2342344340 is about 48397.7720561598. The cubic root of 2342344340 is about 1328.0576051910.

Adding to 2342344340 its reverse (434432432), we get a palindrome (2776776772).

The spelling of 2342344340 in words is "two billion, three hundred forty-two million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 6524 8155 16310 32620 71807 143614 287228 359035 502649 718070 1005298 1436140 2010596 2513245 5026490 10052980 16731031 33462062 66924124 83655155 117117217 167310310 234234434 334620620 468468868 585586085 1171172170 2342344340