Search a number
-
+
34433454 = 23112431103
BaseRepresentation
bin1000001101011…
…0100110101110
32101210101211010
42003112212232
532303332304
63230010050
7565452036
oct203264656
971711733
1034433454
1118489400
12b646926
137197c33
1448048c6
153052789
hex20d69ae

34433454 has 48 divisors (see below), whose sum is σ = 77527296. Its totient is φ = 10182480.

The previous prime is 34433437. The next prime is 34433471. The reversal of 34433454 is 45433443.

34433454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34433437) and next prime (34433471).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30667 + ... + 31769.

It is an arithmetic number, because the mean of its divisors is an integer number (1615152).

Almost surely, 234433454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34433454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38763648).

34433454 is an abundant number, since it is smaller than the sum of its proper divisors (43093842).

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

34433454 is a wasteful number, since it uses less digits than its factorization.

34433454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1162 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 34433454 is about 5868.0025562367. The cubic root of 34433454 is about 325.3320598225.

Subtracting from 34433454 its sum of digits (30), we obtain a square (34433424 = 58682).

Adding to 34433454 its reverse (45433443), we get a palindrome (79866897).

The spelling of 34433454 in words is "thirty-four million, four hundred thirty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 242 258 363 473 726 946 1103 1419 2206 2838 3309 5203 6618 10406 12133 15609 24266 31218 36399 47429 72798 94858 133463 142287 266926 284574 400389 521719 800778 1043438 1565157 3130314 5738909 11477818 17216727 34433454