Search a number
-
+
34633476 = 2232962041
BaseRepresentation
bin1000010000011…
…1011100000100
32102011120012100
42010013130010
532331232401
63234152100
7600244143
oct204073404
972146170
1034633476
1118605709
12b722630
137237ca7
14485775a
153091b86
hex2107704

34633476 has 18 divisors (see below), whose sum is σ = 87545822. Its totient is φ = 11544480.

The previous prime is 34633451. The next prime is 34633477. The reversal of 34633476 is 67433643.

It can be written as a sum of positive squares in only one way, i.e., 34503876 + 129600 = 5874^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 962041 = 34633476 / (3 + 4 + 6 + 3 + 3 + 4 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 34633476.

It is not an unprimeable number, because it can be changed into a prime (34633477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 480985 + ... + 481056.

Almost surely, 234633476 is an apocalyptic number.

34633476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34633476 is an abundant number, since it is smaller than the sum of its proper divisors (52912346).

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

34633476 is a wasteful number, since it uses less digits than its factorization.

34633476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962051 (or 962046 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 34633476 is about 5885.0213253649. The cubic root of 34633476 is about 325.9607891917.

The spelling of 34633476 in words is "thirty-four million, six hundred thirty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 962041 1924082 2886123 3848164 5772246 8658369 11544492 17316738 34633476