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3244530144 = 253239111613
BaseRepresentation
bin1100000101100011…
…1001100111100000
322101010011012122010
43001120321213200
523121044431034
61253541312520
7143255023362
oct30130714740
98333135563
103244530144
1114154a8579
12766705740
133c926032b
1422ac9ad32
1513ec973e9
hexc16399e0

3244530144 has 96 divisors (see below), whose sum is σ = 8902462464. Its totient is φ = 1032711680.

The previous prime is 3244530139. The next prime is 3244530151. The reversal of 3244530144 is 4410354423.

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

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, 2010682 + ... + 2012294.

It is an arithmetic number, because the mean of its divisors is an integer number (92733984).

Almost surely, 23244530144 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 3244530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451231232).

3244530144 is an abundant number, since it is smaller than the sum of its proper divisors (5657932320).

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

3244530144 is a wasteful number, since it uses less digits than its factorization.

3244530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3244530144 is about 56960.7772418881. Note that the first 3 decimals coincide. The cubic root of 3244530144 is about 1480.4165713183.

Adding to 3244530144 its reverse (4410354423), we get a palindrome (7654884567).

The spelling of 3244530144 in words is "three billion, two hundred forty-four million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 911 1104 1613 1822 2208 2733 3226 3644 4839 5466 6452 7288 9678 10932 12904 14576 19356 20953 21864 25808 29152 37099 38712 41906 43728 51616 62859 74198 77424 83812 87456 111297 125718 148396 154848 167624 222594 251436 296792 335248 445188 502872 593584 670496 890376 1005744 1187168 1469443 1780752 2011488 2938886 3561504 4408329 5877772 8816658 11755544 17633316 23511088 33797189 35266632 47022176 67594378 70533264 101391567 135188756 141066528 202783134 270377512 405566268 540755024 811132536 1081510048 1622265072 3244530144