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34384434 = 2374379241
BaseRepresentation
bin1000001100101…
…0101000110010
32101200220120120
42003022220302
532300300214
63224551110
7565156110
oct203125062
971626516
1034384434
1118455597
12b622496
13717b826
1447d0ab0
153042ea9
hex20caa32

34384434 has 64 divisors (see below), whose sum is σ = 81776640. Its totient is φ = 9434880.

The previous prime is 34384423. The next prime is 34384451. The reversal of 34384434 is 43448343.

It is a junction number, because it is equal to n+sod(n) for n = 34384395 and 34384404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142554 + ... + 142794.

It is an arithmetic number, because the mean of its divisors is an integer number (1277760).

Almost surely, 234384434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34384434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40888320).

34384434 is an abundant number, since it is smaller than the sum of its proper divisors (47392206).

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

34384434 is a wasteful number, since it uses less digits than its factorization.

34384434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its digits is 55296, while the sum is 33.

The square root of 34384434 is about 5863.8241788103. The cubic root of 34384434 is about 325.1776039127.

The spelling of 34384434 in words is "thirty-four million, three hundred eighty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 79 86 129 158 237 241 258 301 474 482 553 602 723 903 1106 1446 1659 1687 1806 3318 3374 3397 5061 6794 10122 10191 10363 19039 20382 20726 23779 31089 38078 47558 57117 62178 71337 72541 114234 133273 142674 145082 217623 266546 399819 435246 799638 818677 1637354 2456031 4912062 5730739 11461478 17192217 34384434