Search a number
-
+
3410242430 = 257232118163
BaseRepresentation
bin1100101101000100…
…0010101101111110
322210122222021011012
43023101002231332
523441010224210
61322221155222
7150336403520
oct31321025576
98718867135
103410242430
11149aaa1681
127b20bbb12
134246a0b3a
14244cb5a10
1514e5cc305
hexcb442b7e

3410242430 has 32 divisors (see below), whose sum is σ = 7320374784. Its totient is φ = 1118389536.

The previous prime is 3410242411. The next prime is 3410242439. The reversal of 3410242430 is 342420143.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 3410242396 and 3410242405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410242439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1057472 + ... + 1060691.

It is an arithmetic number, because the mean of its divisors is an integer number (228761712).

Almost surely, 23410242430 is an apocalyptic number.

3410242430 is an abundant number, since it is smaller than the sum of its proper divisors (3910132354).

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

3410242430 is a wasteful number, since it uses less digits than its factorization.

3410242430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118200.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3410242430 is about 58397.2810154719. The cubic root of 3410242430 is about 1505.2030321776.

Adding to 3410242430 its reverse (342420143), we get a palindrome (3752662573).

The spelling of 3410242430 in words is "three billion, four hundred ten million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 2118163 4236326 10590815 14827141 21181630 29654282 48717749 74135705 97435498 148271410 243588745 341024243 487177490 682048486 1705121215 3410242430