Search a number
-
+
3424342440 = 233528536187
BaseRepresentation
bin1100110000011011…
…0101000110101000
322211122111121201210
43030012311012220
524003112424230
61323443313120
7150600300441
oct31406650650
98748447653
103424342440
1114a7a52182
127b697b7a0
1342759993c
14246b062c8
15150964eb0
hexcc1b51a8

3424342440 has 32 divisors (see below), whose sum is σ = 10273027680. Its totient is φ = 913157952.

The previous prime is 3424342399. The next prime is 3424342447. The reversal of 3424342440 is 442434243.

It is a super-2 number, since 2×34243424402 = 23452242292770307200, which contains 22 as substring.

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 = 3424342398 and 3424342407.

It is not an unprimeable number, because it can be changed into a prime (3424342447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14267974 + ... + 14268213.

It is an arithmetic number, because the mean of its divisors is an integer number (321032115).

Almost surely, 23424342440 is an apocalyptic number.

3424342440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424342440 is an abundant number, since it is smaller than the sum of its proper divisors (6848685240).

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

3424342440 is a wasteful number, since it uses less digits than its factorization.

3424342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28536201 (or 28536197 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3424342440 is about 58517.8813697147. The cubic root of 3424342440 is about 1507.2746536864.

Adding to 3424342440 its reverse (442434243), we get a palindrome (3866776683).

The spelling of 3424342440 in words is "three billion, four hundred twenty-four million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28536187 57072374 85608561 114144748 142680935 171217122 228289496 285361870 342434244 428042805 570723740 684868488 856085610 1141447480 1712171220 3424342440