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3231145424 = 2413531092689
BaseRepresentation
bin1100000010010111…
…0101110111010000
322100011222012020202
43000211311313100
523104133123144
61252342354332
7143033166023
oct30045656720
98304865222
103231145424
111408996421
1276212b9a8
133c6554c90
142291b51ba
1513da0164e
hexc0975dd0

3231145424 has 80 divisors (see below), whose sum is σ = 6934712400. Its totient is φ = 1449197568.

The previous prime is 3231145397. The next prime is 3231145433. The reversal of 3231145424 is 4245411323.

It can be written as a sum of positive squares in 8 ways, for example, as 241243024 + 2989902400 = 15532^2 + 54680^2 .

It is a super-2 number, since 2×32311454242 = 20880601502072279552, which contains 22 as substring.

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, 1200272 + ... + 1202960.

It is an arithmetic number, because the mean of its divisors is an integer number (86683905).

Almost surely, 23231145424 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 3231145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467356200).

3231145424 is an abundant number, since it is smaller than the sum of its proper divisors (3703566976).

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

3231145424 is a wasteful number, since it uses less digits than its factorization.

3231145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2866 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 3231145424 is about 56843.1651476235. The cubic root of 3231145424 is about 1478.3780356183.

Adding to 3231145424 its reverse (4245411323), we get a palindrome (7476556747).

The spelling of 3231145424 in words is "three billion, two hundred thirty-one million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 109 208 212 218 424 436 689 848 872 1378 1417 1744 2689 2756 2834 5378 5512 5668 5777 10756 11024 11336 11554 21512 22672 23108 34957 43024 46216 69914 75101 92432 139828 142517 150202 279656 285034 293101 300404 559312 570068 586202 600808 1140136 1172404 1201616 1852721 2280272 2344808 3705442 3810313 4689616 7410884 7620626 14821768 15241252 15534353 29643536 30482504 31068706 60965008 62137412 124274824 201946589 248549648 403893178 807786356 1615572712 3231145424