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3234205152 = 253335910427
BaseRepresentation
bin1100000011000110…
…0000110111100000
322100101201122102000
43000301200313200
523110424031102
61252532124000
7143101201353
oct30061406740
98311648360
103234205152
11140a696222
12763166600
133c7086879
1422977029a
1513de0801c
hexc0c60de0

3234205152 has 96 divisors (see below), whose sum is σ = 9460281600. Its totient is φ = 1074962304.

The previous prime is 3234205063. The next prime is 3234205207. The reversal of 3234205152 is 2515024323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304963 + ... + 315389.

It is an arithmetic number, because the mean of its divisors is an integer number (98544600).

Almost surely, 23234205152 is an apocalyptic number.

3234205152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730140800).

3234205152 is an abundant number, since it is smaller than the sum of its proper divisors (6226076448).

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

3234205152 is a wasteful number, since it uses less digits than its factorization.

3234205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3234205152 is about 56870.0725513868. The cubic root of 3234205152 is about 1478.8445376383.

Adding to 3234205152 its reverse (2515024323), we get a palindrome (5749229475).

The spelling of 3234205152 in words is "three billion, two hundred thirty-four million, two hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 359 432 718 864 1077 1436 2154 2872 3231 4308 5744 6462 8616 9693 10427 11488 12924 17232 19386 20854 25848 31281 34464 38772 41708 51696 62562 77544 83416 93843 103392 125124 155088 166832 187686 250248 281529 310176 333664 375372 500496 563058 750744 1000992 1126116 1501488 2252232 3002976 3743293 4504464 7486586 9008928 11229879 14973172 22459758 29946344 33689637 44919516 59892688 67379274 89839032 101068911 119785376 134758548 179678064 202137822 269517096 359356128 404275644 539034192 808551288 1078068384 1617102576 3234205152