Search a number
-
+
34055448 = 23371947227
BaseRepresentation
bin1000000111101…
…0010100011000
32101002012021220
42001322110120
532204233243
63213532040
7562316010
oct201722430
971065256
1034055448
11182503a9
12b4a4020
137094b6b
144746c40
152eca783
hex207a518

34055448 has 128 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 8982144.

The previous prime is 34055447. The next prime is 34055459. The reversal of 34055448 is 84455043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149911 + ... + 150137.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 234055448 is an apocalyptic number.

34055448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34055448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

34055448 is an abundant number, since it is smaller than the sum of its proper divisors (71006952).

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

34055448 is a wasteful number, since it uses less digits than its factorization.

34055448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 34055448 is about 5835.7045847095. The cubic root of 34055448 is about 324.1371923192.

The spelling of 34055448 in words is "thirty-four million, fifty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 47 56 57 76 84 94 114 133 141 152 168 188 227 228 266 282 329 376 399 454 456 532 564 658 681 798 893 908 987 1064 1128 1316 1362 1589 1596 1786 1816 1974 2632 2679 2724 3178 3192 3572 3948 4313 4767 5358 5448 6251 6356 7144 7896 8626 9534 10669 10716 12502 12712 12939 17252 18753 19068 21338 21432 25004 25878 30191 32007 34504 37506 38136 42676 50008 51756 60382 64014 74683 75012 85352 90573 103512 120764 128028 149366 150024 181146 202711 224049 241528 256056 298732 362292 405422 448098 597464 608133 724584 810844 896196 1216266 1418977 1621688 1792392 2432532 2837954 4256931 4865064 5675908 8513862 11351816 17027724 34055448