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34040232 = 233231101151
BaseRepresentation
bin1000000111011…
…0100110101000
32101001102102100
42001312212220
532203241412
63213333400
7562223442
oct201664650
971042370
1034040232
111823aa26
12b497260
13708ac65
144741492
152ec5edc
hex20769a8

34040232 has 96 divisors (see below), whose sum is σ = 96744960. Its totient is φ = 10800000.

The previous prime is 34040213. The next prime is 34040243. The reversal of 34040232 is 23204043.

It is a super-2 number, since 2×340402322 = 2317474789227648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 225357 + ... + 225507.

It is an arithmetic number, because the mean of its divisors is an integer number (1007760).

Almost surely, 234040232 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 34040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

34040232 is an abundant number, since it is smaller than the sum of its proper divisors (62704728).

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

34040232 is a wasteful number, since it uses less digits than its factorization.

34040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34040232 is about 5834.4007404360. The cubic root of 34040232 is about 324.0889102132.

Adding to 34040232 its reverse (23204043), we get a palindrome (57244275).

It can be divided in two parts, 3404023 and 2, that added together give a square (3404025 = 18452).

The spelling of 34040232 in words is "thirty-four million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 101 124 151 186 202 248 279 302 303 372 404 453 558 604 606 744 808 906 909 1116 1208 1212 1359 1812 1818 2232 2424 2718 3131 3624 3636 4681 5436 6262 7272 9362 9393 10872 12524 14043 15251 18724 18786 25048 28086 28179 30502 37448 37572 42129 45753 56172 56358 61004 75144 84258 91506 112344 112716 122008 137259 168516 183012 225432 274518 337032 366024 472781 549036 945562 1098072 1418343 1891124 2836686 3782248 4255029 5673372 8510058 11346744 17020116 34040232