Search a number
-
+
34034154 = 23711237181
BaseRepresentation
bin1000000111010…
…1000111101010
32101001010002020
42001311013222
532203043104
63213245310
7562166640
oct201650752
971033066
1034034154
1118236400
12b493836
13708826b
14473d190
152ec42d9
hex20751ea

34034154 has 96 divisors (see below), whose sum is σ = 88303488. Its totient is φ = 8553600.

The previous prime is 34034129. The next prime is 34034171. The reversal of 34034154 is 45143043.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187944 + ... + 188124.

It is an arithmetic number, because the mean of its divisors is an integer number (919828).

Almost surely, 234034154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34034154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44151744).

34034154 is an abundant number, since it is smaller than the sum of its proper divisors (54269334).

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

34034154 is a wasteful number, since it uses less digits than its factorization.

34034154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34034154 is about 5833.8798410663. The cubic root of 34034154 is about 324.0696200034.

Adding to 34034154 its reverse (45143043), we get a palindrome (79177197).

Subtracting 34034154 from its reverse (45143043), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3403 and 4154, that added together give a palindrome (7557).

The spelling of 34034154 in words is "thirty-four million, thirty-four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 121 154 181 222 231 242 259 362 363 407 462 518 543 726 777 814 847 1086 1221 1267 1554 1694 1991 2442 2534 2541 2849 3801 3982 4477 5082 5698 5973 6697 7602 8547 8954 11946 13394 13431 13937 17094 20091 21901 26862 27874 31339 40182 41811 43802 46879 62678 65703 73667 83622 93758 94017 131406 140637 147334 153307 188034 221001 281274 306614 442002 459921 515669 810337 919842 1031338 1547007 1620674 2431011 3094014 4862022 5672359 11344718 17017077 34034154