Search a number
-
+
3430117830 = 235114337261
BaseRepresentation
bin1100110001110011…
…0111000111000110
322212001101001002010
43030130313013012
524011102232310
61324211155050
7151000343346
oct31434670706
98761331063
103430117830
111500237327
127b88a5a86
1342883c629
142477aad26
15151206320
hexcc7371c6

3430117830 has 16 divisors (see below), whose sum is σ = 8232282864. Its totient is φ = 914698080.

The previous prime is 3430117813. The next prime is 3430117871. The reversal of 3430117830 is 387110343.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 114337261 = 3430117830 / (3 + 4 + 3 + 0 + 1 + 1 + 7 + 8 + 3 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57168601 + ... + 57168660.

It is an arithmetic number, because the mean of its divisors is an integer number (514517679).

Almost surely, 23430117830 is an apocalyptic number.

3430117830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3430117830 is an abundant number, since it is smaller than the sum of its proper divisors (4802165034).

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

3430117830 is a wasteful number, since it uses less digits than its factorization.

3430117830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114337271.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3430117830 is about 58567.2078043678. The cubic root of 3430117830 is about 1508.1215520109.

The spelling of 3430117830 in words is "three billion, four hundred thirty million, one hundred seventeen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 114337261 228674522 343011783 571686305 686023566 1143372610 1715058915 3430117830