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34131152 = 2411533659
BaseRepresentation
bin1000001000110…
…0110011010000
32101020001010202
42002030303100
532214144102
63215314332
7563052506
oct202146320
971201122
1034131152
11182a2270
12b51b9a8
1370c0463
144766676
152ee2e02
hex208ccd0

34131152 has 40 divisors (see below), whose sum is σ = 73522080. Its totient is φ = 15217280.

The previous prime is 34131151. The next prime is 34131157. The reversal of 34131152 is 25113143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7499 + ... + 11157.

It is an arithmetic number, because the mean of its divisors is an integer number (1838052).

Almost surely, 234131152 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 34131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36761040).

34131152 is an abundant number, since it is smaller than the sum of its proper divisors (39390928).

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

34131152 is a wasteful number, since it uses less digits than its factorization.

34131152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3725 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 34131152 is about 5842.1872616341. The cubic root of 34131152 is about 324.3771962261.

Adding to 34131152 its reverse (25113143), we get a palindrome (59244295).

Subtracting from 34131152 its reverse (25113143), we obtain a square (9018009 = 30032).

The spelling of 34131152 in words is "thirty-four million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 3659 4664 7318 9328 14636 29272 40249 58544 80498 160996 193927 321992 387854 643984 775708 1551416 2133197 3102832 4266394 8532788 17065576 34131152