Search a number
-
+
34274448 = 24331317359
BaseRepresentation
bin1000001010111…
…1110010010000
32101111022201000
42002233302100
532233240243
63222342000
7564220335
oct202576220
971438630
1034274448
111838a99a
12b58a900
137140750
1447a298c
1530205d3
hex20afc90

34274448 has 160 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 9897984.

The previous prime is 34274419. The next prime is 34274459. The reversal of 34274448 is 84447243.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95293 + ... + 95651.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 234274448 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 34274448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34274448 is an abundant number, since it is smaller than the sum of its proper divisors (78218352).

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

34274448 is a wasteful number, since it uses less digits than its factorization.

34274448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 34274448 is about 5854.4383163545. The cubic root of 34274448 is about 324.8305167603.

It can be divided in two parts, 3427 and 4448, that added together give a triangular number (7875 = T125).

The spelling of 34274448 in words is "thirty-four million, two hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 359 408 432 442 459 468 612 624 663 702 718 816 884 918 936 1077 1224 1326 1404 1436 1768 1836 1872 1989 2154 2448 2652 2808 2872 3231 3536 3672 3978 4308 4667 5304 5616 5744 5967 6103 6462 7344 7956 8616 9334 9693 10608 11934 12206 12924 14001 15912 17232 18309 18668 19386 23868 24412 25848 28002 31824 36618 37336 38772 42003 47736 48824 51696 54927 56004 73236 74672 77544 79339 84006 95472 97648 109854 112008 126009 146472 155088 158678 164781 168012 219708 224016 238017 252018 292944 317356 329562 336024 439416 476034 504036 634712 659124 672048 714051 878832 952068 1008072 1269424 1318248 1428102 1904136 2016144 2142153 2636496 2856204 3808272 4284306 5712408 8568612 11424816 17137224 34274448