Search a number
-
+
34100424 = 2332473617
BaseRepresentation
bin1000001000010…
…1010011001000
32101011110222200
42002011103020
532212203144
63214520200
7562564101
oct202052310
971143880
1034100424
1118281176
12b506060
1370ac487
1447593a8
152ed8c69
hex20854c8

34100424 has 24 divisors (see below), whose sum is σ = 92355510. Its totient is φ = 11366784.

The previous prime is 34100401. The next prime is 34100431. The reversal of 34100424 is 42400143.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 10771524 = 4830^2 + 3282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34100397 and 34100406.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236737 + ... + 236880.

Almost surely, 234100424 is an apocalyptic number.

It is an amenable number.

34100424 is an abundant number, since it is smaller than the sum of its proper divisors (58255086).

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

34100424 is a wasteful number, since it uses less digits than its factorization.

34100424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473629 (or 473622 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34100424 is about 5839.5568325002. The cubic root of 34100424 is about 324.2798222768.

Adding to 34100424 its reverse (42400143), we get a palindrome (76500567).

The spelling of 34100424 in words is "thirty-four million, one hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 473617 947234 1420851 1894468 2841702 3788936 4262553 5683404 8525106 11366808 17050212 34100424