Search a number
-
+
7434034344 = 23321123394013
BaseRepresentation
bin1101110110001101…
…00101110010101000
3201012002110001222100
412323012211302220
5110211103044334
63225401053400
7352136151342
oct67306456250
921162401870
107434034344
113175356040
121535787260
139162028b9
14507460292
152d79a1c99
hex1bb1a5ca8

7434034344 has 96 divisors (see below), whose sum is σ = 21979058400. Its totient is φ = 2251213440.

The previous prime is 7434034343. The next prime is 7434034393. The reversal of 7434034344 is 4434304347.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7434034299 and 7434034308.

It is not an unprimeable number, because it can be changed into a prime (7434034343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1850482 + ... + 1854494.

It is an arithmetic number, because the mean of its divisors is an integer number (228948525).

Almost surely, 27434034344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7434034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989529200).

7434034344 is an abundant number, since it is smaller than the sum of its proper divisors (14545024056).

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

7434034344 is a wasteful number, since it uses less digits than its factorization.

7434034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The square root of 7434034344 is about 86220.8463424014. The cubic root of 7434034344 is about 1951.6780947327.

It can be divided in two parts, 743403 and 4344, that added together give a palindrome (747747).

The spelling of 7434034344 in words is "seven billion, four hundred thirty-four million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2339 4013 4678 7017 8026 9356 12039 14034 16052 18712 21051 24078 25729 28068 32104 36117 42102 44143 48156 51458 56136 72234 77187 84204 88286 96312 102916 132429 144468 154374 168408 176572 205832 231561 264858 288936 308748 353144 397287 463122 529716 617496 794574 926244 1059432 1589148 1852488 3178296 9386407 18772814 28159221 37545628 56318442 75091256 84477663 103250477 112636884 168955326 206500954 225273768 309751431 337910652 413001908 619502862 675821304 826003816 929254293 1239005724 1858508586 2478011448 3717017172 7434034344