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3234204324 = 22321350913577
BaseRepresentation
bin1100000011000110…
…0000101010100100
322100101201121021100
43000301200222210
523110424014244
61252532120100
7143101166061
oct30061405244
98311647240
103234204324
11140a69563a
12763166030
133c7086390
1422976dc68
1513de07b69
hexc0c60aa4

3234204324 has 72 divisors (see below), whose sum is σ = 8822169720. Its totient is φ = 993111552.

The previous prime is 3234204313. The next prime is 3234204367. The reversal of 3234204324 is 4234024323.

It can be written as a sum of positive squares in 4 ways, for example, as 1230746724 + 2003457600 = 35082^2 + 44760^2 .

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, 231424 + ... + 245000.

It is an arithmetic number, because the mean of its divisors is an integer number (122530135).

Almost surely, 23234204324 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 3234204324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411084860).

3234204324 is an abundant number, since it is smaller than the sum of its proper divisors (5587965396).

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

3234204324 is a wasteful number, since it uses less digits than its factorization.

3234204324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14109 (or 14104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3234204324 is about 56870.0652716348. The cubic root of 3234204324 is about 1478.8444114369.

Adding to 3234204324 its reverse (4234024323), we get a palindrome (7468228647).

The spelling of 3234204324 in words is "three billion, two hundred thirty-four million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 509 1018 1527 2036 3054 4581 6108 6617 9162 13234 13577 18324 19851 26468 27154 39702 40731 54308 59553 79404 81462 119106 122193 162924 176501 238212 244386 353002 488772 529503 706004 1059006 1588509 2118012 3177018 6354036 6910693 13821386 20732079 27642772 41464158 62196237 82928316 89839009 124392474 179678018 248784948 269517027 359356036 539034054 808551081 1078068108 1617102162 3234204324