Search a number
-
+
34067232 = 25322337139
BaseRepresentation
bin1000000111110…
…1001100100000
32101002210110100
42001331030200
532210122412
63214102400
7562365243
oct201751440
971083410
1034067232
1118259241
12b4aaa00
13709a334
14474b25a
152ecdedc
hex207d320

34067232 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 10492416.

The previous prime is 34067221. The next prime is 34067237. The reversal of 34067232 is 23276043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×340672323 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34067196 and 34067205.

It is not an unprimeable number, because it can be changed into a prime (34067237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245019 + ... + 245157.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 234067232 is an apocalyptic number.

34067232 is a gapful number since it is divisible by the number (32) 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 34067232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

34067232 is an abundant number, since it is smaller than the sum of its proper divisors (70502688).

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

34067232 is a wasteful number, since it uses less digits than its factorization.

34067232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34067232 is about 5836.7141441054. The cubic root of 34067232 is about 324.1745744163.

The spelling of 34067232 in words is "thirty-four million, sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 139 144 148 184 207 222 276 278 288 296 333 368 414 417 444 552 556 592 666 736 828 834 851 888 1104 1112 1184 1251 1332 1656 1668 1702 1776 2208 2224 2502 2553 2664 3197 3312 3336 3404 3552 4448 5004 5106 5143 5328 6394 6624 6672 6808 7659 9591 10008 10212 10286 10656 12788 13344 13616 15318 15429 19182 20016 20424 20572 25576 27232 28773 30636 30858 38364 40032 40848 41144 46287 51152 57546 61272 61716 76728 81696 82288 92574 102304 115092 118289 122544 123432 153456 164576 185148 230184 236578 245088 246864 306912 354867 370296 460368 473156 493728 709734 740592 920736 946312 1064601 1419468 1481184 1892624 2129202 2838936 3785248 4258404 5677872 8516808 11355744 17033616 34067232