Search a number
-
+
34941152 = 2519101569
BaseRepresentation
bin1000010101001…
…0100011100000
32102202012020202
42011102203200
532421104102
63244524332
7602665151
oct205224340
972665222
1034941152
11187a5894
12b8506a8
13731504c
1448d7928
153102e02
hex21528e0

34941152 has 48 divisors (see below), whose sum is σ = 73256400. Its totient is φ = 16358400.

The previous prime is 34941131. The next prime is 34941173. The reversal of 34941152 is 25114943.

It is an interprime number because it is at equal distance from previous prime (34941131) and next prime (34941173).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61124 + ... + 61692.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 234941152 is an apocalyptic number.

34941152 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 34941152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200).

34941152 is an abundant number, since it is smaller than the sum of its proper divisors (38315248).

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

34941152 is a wasteful number, since it uses less digits than its factorization.

34941152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 34941152 is about 5911.1041269800. The cubic root of 34941152 is about 326.9231989268.

The spelling of 34941152 in words is "thirty-four million, nine hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 101 152 202 304 404 569 608 808 1138 1616 1919 2276 3232 3838 4552 7676 9104 10811 15352 18208 21622 30704 43244 57469 61408 86488 114938 172976 229876 345952 459752 919504 1091911 1839008 2183822 4367644 8735288 17470576 34941152