Search a number
-
+
3241014432 = 253593531621
BaseRepresentation
bin1100000100101101…
…1111010010100000
322100212112120222120
43001023133102200
523114144430212
61253334104240
7143213111445
oct30113372240
98325476876
103241014432
111413517127
127654ab080
133c85cc026
1422a6239cc
1513e80088c
hexc12df4a0

3241014432 has 96 divisors (see below), whose sum is σ = 8681722560. Its totient is φ = 1058365440.

The previous prime is 3241014323. The next prime is 3241014457. The reversal of 3241014432 is 2344101423.

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 (24).

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, 1998582 + ... + 2000202.

It is an arithmetic number, because the mean of its divisors is an integer number (90434610).

Almost surely, 23241014432 is an apocalyptic number.

3241014432 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 3241014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340861280).

3241014432 is an abundant number, since it is smaller than the sum of its proper divisors (5440708128).

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

3241014432 is a wasteful number, since it uses less digits than its factorization.

3241014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3241014432 is about 56929.9080624587. The cubic root of 3241014432 is about 1479.8816608570.

Adding to 3241014432 its reverse (2344101423), we get a palindrome (5585115855).

The spelling of 3241014432 in words is "three billion, two hundred forty-one million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 353 354 472 706 708 944 1059 1412 1416 1621 1888 2118 2824 2832 3242 4236 4863 5648 5664 6484 8472 9726 11296 12968 16944 19452 20827 25936 33888 38904 41654 51872 62481 77808 83308 95639 124962 155616 166616 191278 249924 286917 333232 382556 499848 572213 573834 666464 765112 999696 1144426 1147668 1530224 1716639 1999392 2288852 2295336 3060448 3433278 4577704 4590672 6866556 9155408 9181344 13733112 18310816 27466224 33760567 54932448 67521134 101281701 135042268 202563402 270084536 405126804 540169072 810253608 1080338144 1620507216 3241014432