Search a number
-
+
2342068036 = 2271117491911
BaseRepresentation
bin1000101110011001…
…0001111101000100
320001020000101100121
42023212101331010
514244032134121
61024222351324
7112016151460
oct21346217504
96036011317
102342068036
11aa2044420
1255442b544
132b42b4099
1418309d4a0
15da931141
hex8b991f44

2342068036 has 96 divisors (see below), whose sum is σ = 5427523584. Its totient is φ = 856128000.

The previous prime is 2342068009. The next prime is 2342068037. The reversal of 2342068036 is 6308602432.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2342067992 and 2342068010.

It is not an unprimeable number, because it can be changed into a prime (2342068037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2570421 + ... + 2571331.

It is an arithmetic number, because the mean of its divisors is an integer number (56536704).

Almost surely, 22342068036 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 2342068036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713761792).

2342068036 is an abundant number, since it is smaller than the sum of its proper divisors (3085455548).

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

2342068036 is a wasteful number, since it uses less digits than its factorization.

2342068036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2342068036 is about 48394.9174604111. The cubic root of 2342068036 is about 1328.0053837119.

It can be divided in two parts, 234206 and 8036, that added together give a palindrome (242242).

The spelling of 2342068036 in words is "two billion, three hundred forty-two million, sixty-eight thousand, thirty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 491 748 911 982 1309 1822 1964 2618 3437 3644 5236 5401 6377 6874 8347 10021 10802 12754 13748 15487 16694 20042 21604 25508 30974 33388 37807 40084 58429 61948 70147 75614 91817 108409 116858 140294 151228 170357 183634 216818 233716 280588 340714 367268 433636 447301 642719 681428 894602 1192499 1285438 1789204 2384998 2570876 3131107 4769996 4920311 6262214 7604117 9840622 12524428 15208234 19681244 30416468 34442177 53228819 68884354 83645287 106457638 137768708 167290574 212915276 334581148 585517009 1171034018 2342068036