Search a number
-
+
3241143424 = 27196192153
BaseRepresentation
bin1100000100101111…
…1110110010000000
322100212210010221001
43001023332302000
523114213042144
61253340541344
7143214156511
oct30113766200
98325703831
103241143424
1114135a5032
12765551854
133c864595c
1422a658a08
1513e828bd4
hexc12fec80

3241143424 has 64 divisors (see below), whose sum is σ = 6810948000. Its totient is φ = 1532086272.

The previous prime is 3241143419. The next prime is 3241143461. The reversal of 3241143424 is 4243411423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3241143392 and 3241143401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504332 + ... + 1506484.

Almost surely, 23241143424 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 3241143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405474000).

3241143424 is an abundant number, since it is smaller than the sum of its proper divisors (3569804576).

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

3241143424 is a wasteful number, since it uses less digits than its factorization.

3241143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2793 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3241143424 is about 56931.0409530688. The cubic root of 3241143424 is about 1479.9012936362.

Adding to 3241143424 its reverse (4243411423), we get a palindrome (7484554847).

The spelling of 3241143424 in words is "three billion, two hundred forty-one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 619 1216 1238 2153 2432 2476 4306 4952 8612 9904 11761 17224 19808 23522 34448 39616 40907 47044 68896 79232 81814 94088 137792 163628 188176 275584 327256 376352 654512 752704 1309024 1332707 1505408 2618048 2665414 5236096 5330828 10661656 21323312 25321433 42646624 50642866 85293248 101285732 170586496 202571464 405142928 810285856 1620571712 3241143424