Search a number
-
+
3410001012 = 2231130678423
BaseRepresentation
bin1100101101000000…
…0111110001110100
322210122111222222210
43023100013301310
523440430013022
61322212053420
7150334346625
oct31320076164
98718458883
103410001012
11149a947260
127b2004270
13424617ca2
14244c51a4c
1514e580a0c
hexcb407c74

3410001012 has 48 divisors (see below), whose sum is σ = 8683863552. Its totient is φ = 1032874080.

The previous prime is 3410000983. The next prime is 3410001029. The reversal of 3410001012 is 2101000143.

It is a happy number.

It is a super-4 number, since 4×34100010124 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 400633 + ... + 409055.

It is an arithmetic number, because the mean of its divisors is an integer number (180913824).

Almost surely, 23410001012 is an apocalyptic number.

It is an amenable number.

3410001012 is an abundant number, since it is smaller than the sum of its proper divisors (5273862540).

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

3410001012 is a wasteful number, since it uses less digits than its factorization.

3410001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3410001012 is about 58395.2139477201. The cubic root of 3410001012 is about 1505.1675125444.

Adding to 3410001012 its reverse (2101000143), we get a palindrome (5511001155).

The spelling of 3410001012 in words is "three billion, four hundred ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3067 6134 8423 9201 12268 16846 18402 25269 33692 33737 36804 50538 67474 92653 101076 101211 134948 185306 202422 277959 370612 404844 555918 1111836 25833341 51666682 77500023 103333364 155000046 284166751 310000092 568333502 852500253 1136667004 1705000506 3410001012