Search a number
-
+
34401040 = 245430013
BaseRepresentation
bin1000001100111…
…0101100010000
32101201202100121
42003032230100
532301313130
63225200024
7565255402
oct203165420
971652317
1034401040
1118467013
12b630014
13718625b
1447d6b72
153047d7a
hex20ceb10

34401040 has 20 divisors (see below), whose sum is σ = 79982604. Its totient is φ = 13760384.

The previous prime is 34401023. The next prime is 34401043. The reversal of 34401040 is 4010443.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 26915344 = 2736^2 + 5188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34401043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214927 + ... + 215086.

Almost surely, 234401040 is an apocalyptic number.

It is an amenable number.

34401040 is an abundant number, since it is smaller than the sum of its proper divisors (45581564).

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

34401040 is a wasteful number, since it uses less digits than its factorization.

34401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430026 (or 430020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34401040 is about 5865.2399780401. The cubic root of 34401040 is about 325.2299437808.

Adding to 34401040 its reverse (4010443), we get a palindrome (38411483).

The spelling of 34401040 in words is "thirty-four million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 430013 860026 1720052 2150065 3440104 4300130 6880208 8600260 17200520 34401040