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3243240144 = 2432179471399
BaseRepresentation
bin1100000101001111…
…1110101011010000
322101000201200002100
43001103332223100
523120232141034
61253453520400
7143241041424
oct30123765320
98330650070
103243240144
1114147a7361
127661a3100
133c8bcb111
1422aa42b84
1513eae0099
hexc14fead0

3243240144 has 120 divisors (see below), whose sum is σ = 9627508800. Its totient is φ = 1015686144.

The previous prime is 3243240101. The next prime is 3243240149. The reversal of 3243240144 is 4410423423.

It is a happy number.

3243240144 is a `hidden beast` number, since 324 + 324 + 0 + 14 + 4 = 666.

3243240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243240149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2317557 + ... + 2318955.

It is an arithmetic number, because the mean of its divisors is an integer number (80229240).

Almost surely, 23243240144 is an apocalyptic number.

3243240144 is a gapful number since it is divisible by the number (34) 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 3243240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813754400).

3243240144 is an abundant number, since it is smaller than the sum of its proper divisors (6384268656).

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

3243240144 is a wasteful number, since it uses less digits than its factorization.

3243240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3243240144 is about 56949.4525346820. The cubic root of 3243240144 is about 1480.2203445976.

Adding to 3243240144 its reverse (4410423423), we get a palindrome (7653663567).

The spelling of 3243240144 in words is "three billion, two hundred forty-three million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 947 1224 1399 1894 2448 2798 2841 3788 4197 5596 5682 7576 8394 8523 11192 11364 12591 15152 16099 16788 17046 22384 22728 23783 25182 32198 33576 34092 45456 47566 48297 50364 64396 67152 68184 71349 95132 96594 100728 128792 136368 142698 144891 190264 193188 201456 214047 257584 285396 289782 380528 386376 428094 570792 579564 772752 856188 1141584 1159128 1324853 1712376 2318256 2649706 3424752 3974559 5299412 7949118 10598824 11923677 15898236 21197648 22522501 23847354 31796472 45045002 47694708 63592944 67567503 90090004 95389416 135135006 180180008 190778832 202702509 270270012 360360016 405405018 540540024 810810036 1081080048 1621620072 3243240144