Search a number
-
+
3434434140 = 223557240569
BaseRepresentation
bin1100110010110101…
…0100111001011100
322212100111022221110
43030231110321130
524013203343030
61324443502020
7151052131344
oct31455247134
98770438843
103434434140
111502715225
127ba227910
134296c1167
142481b1d24
151517aa1b0
hexccb54e5c

3434434140 has 24 divisors (see below), whose sum is σ = 9616415760. Its totient is φ = 915849088.

The previous prime is 3434434121. The next prime is 3434434151. The reversal of 3434434140 is 414344343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3434434098 and 3434434107.

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, 28620225 + ... + 28620344.

It is an arithmetic number, because the mean of its divisors is an integer number (400683990).

Almost surely, 23434434140 is an apocalyptic number.

3434434140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434434140 is an abundant number, since it is smaller than the sum of its proper divisors (6181981620).

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

3434434140 is a wasteful number, since it uses less digits than its factorization.

3434434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57240581 (or 57240579 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3434434140 is about 58604.0454235030. The cubic root of 3434434140 is about 1508.7538715535.

Adding to 3434434140 its reverse (414344343), we get a palindrome (3848778483).

The spelling of 3434434140 in words is "three billion, four hundred thirty-four million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 57240569 114481138 171721707 228962276 286202845 343443414 572405690 686886828 858608535 1144811380 1717217070 3434434140