Search a number
-
+
3430642152 = 233739751437
BaseRepresentation
bin1100110001111011…
…0111000111101000
322212002100200022110
43030132313013220
524011221022102
61324230322320
7151004656110
oct31436670750
98762320273
103430642152
111500565253
127b8ab93a0
13428994192
142478a6040
151512ab86c
hexcc7b71e8

3430642152 has 64 divisors (see below), whose sum is σ = 9826715520. Its totient is φ = 977695488.

The previous prime is 3430642121. The next prime is 3430642153. The reversal of 3430642152 is 2512460343.

It is a super-2 number, since 2×34306421522 = 23538611150158382208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430642153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40978 + ... + 92414.

It is an arithmetic number, because the mean of its divisors is an integer number (153542430).

Almost surely, 23430642152 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 3430642152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913357760).

3430642152 is an abundant number, since it is smaller than the sum of its proper divisors (6396073368).

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

3430642152 is a wasteful number, since it uses less digits than its factorization.

3430642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51850 (or 51846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3430642152 is about 58571.6838754018. The cubic root of 3430642152 is about 1508.1983910643.

The spelling of 3430642152 in words is "three billion, four hundred thirty million, six hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1588 2382 2779 3176 4764 5558 8337 9528 11116 16674 22232 33348 51437 66696 102874 154311 205748 308622 360059 411496 617244 720118 1080177 1234488 1440236 2160354 2880472 4320708 8641416 20420489 40840978 61261467 81681956 122522934 142943423 163363912 245045868 285886846 428830269 490091736 571773692 857660538 1143547384 1715321076 3430642152