Search a number
-
+
34144638 = 2311517343
BaseRepresentation
bin1000001001000…
…0000101111110
32101020201122020
42002100011332
532220112023
63215501010
7563140023
oct202200576
971221566
1034144638
1118301410
12b527766
1370c6638
14476b54a
152ee6de3
hex209017e

34144638 has 16 divisors (see below), whose sum is σ = 74497536. Its totient is φ = 10346840.

The previous prime is 34144633. The next prime is 34144651. The reversal of 34144638 is 83644143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34144599 and 34144608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144633) 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, 258606 + ... + 258737.

It is an arithmetic number, because the mean of its divisors is an integer number (4656096).

Almost surely, 234144638 is an apocalyptic number.

34144638 is an abundant number, since it is smaller than the sum of its proper divisors (40352898).

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

34144638 is a wasteful number, since it uses less digits than its factorization.

34144638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517359.

The product of its digits is 27648, while the sum is 33.

The square root of 34144638 is about 5843.3413386521. The cubic root of 34144638 is about 324.4199135540.

The spelling of 34144638 in words is "thirty-four million, one hundred forty-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 517343 1034686 1552029 3104058 5690773 11381546 17072319 34144638