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34252152 = 23311235641
BaseRepresentation
bin1000001010101…
…0010101111000
32101110012010020
42002222111320
532232032102
63222050440
7564065334
oct202522570
971405106
1034252152
1118375170
12b579a20
13713355c
1447987c4
153018bbc
hex20aa578

34252152 has 64 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 9926400.

The previous prime is 34252087. The next prime is 34252157. The reversal of 34252152 is 25125243.

It is a super-2 number, since 2×342521522 = 2346419833262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34252157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 234252152 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 34252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

34252152 is an abundant number, since it is smaller than the sum of its proper divisors (63241608).

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

34252152 is a wasteful number, since it uses less digits than its factorization.

34252152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5680 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 34252152 is about 5852.5338102398. The cubic root of 34252152 is about 324.7600659082.

Adding to 34252152 its reverse (25125243), we get a palindrome (59377395).

The spelling of 34252152 in words is "thirty-four million, two hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 5641 6072 11282 16923 22564 33846 45128 62051 67692 124102 129743 135384 186153 248204 259486 372306 389229 496408 518972 744612 778458 1037944 1427173 1489224 1556916 2854346 3113832 4281519 5708692 8563038 11417384 17126076 34252152