Search a number
-
+
3412323552 = 253113231367
BaseRepresentation
bin1100101101100011…
…1110110011100000
322210210212222220210
43023120332303200
523442023323202
61322333534120
7150363162111
oct31330766340
98723788823
103412323552
1114a1193210
127b2944340
13424c4c181
14245298208
1514e88dc6c
hexcb63ece0

3412323552 has 48 divisors (see below), whose sum is σ = 9771656832. Its totient is φ = 1034037120.

The previous prime is 3412323511. The next prime is 3412323553. The reversal of 3412323552 is 2553232143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412323553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614628 + ... + 1616739.

It is an arithmetic number, because the mean of its divisors is an integer number (203576184).

Almost surely, 23412323552 is an apocalyptic number.

3412323552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3412323552 is an abundant number, since it is smaller than the sum of its proper divisors (6359333280).

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

3412323552 is a wasteful number, since it uses less digits than its factorization.

3412323552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231391 (or 3231383 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 3412323552 is about 58415.0969527570. The cubic root of 3412323552 is about 1505.5091564696.

Adding to 3412323552 its reverse (2553232143), we get a palindrome (5965555695).

It can be divided in two parts, 34123 and 23552, that added together give a palindrome (57675).

The spelling of 3412323552 in words is "three billion, four hundred twelve million, three hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3231367 6462734 9694101 12925468 19388202 25850936 35545037 38776404 51701872 71090074 77552808 103403744 106635111 142180148 155105616 213270222 284360296 310211232 426540444 568720592 853080888 1137441184 1706161776 3412323552