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3234143440 = 245113799697
BaseRepresentation
bin1100000011000101…
…0001110011010000
322100101121111202101
43000301101303100
523110420042230
61252530530144
7143100523423
oct30061216320
98311544671
103234143440
11140a653920
12763136954
133c7064758
142297559ba
1513dde4aca
hexc0c51cd0

3234143440 has 80 divisors (see below), whose sum is σ = 8225455680. Its totient is φ = 1172828160.

The previous prime is 3234143431. The next prime is 3234143447. The reversal of 3234143440 is 443414323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3234143399 and 3234143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234143447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328672 + ... + 338368.

It is an arithmetic number, because the mean of its divisors is an integer number (102818196).

Almost surely, 23234143440 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 3234143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112727840).

3234143440 is an abundant number, since it is smaller than the sum of its proper divisors (4991312240).

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

3234143440 is a wasteful number, since it uses less digits than its factorization.

3234143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3234143440 is about 56869.5299787153. The cubic root of 3234143440 is about 1478.8351316142.

Adding to 3234143440 its reverse (443414323), we get a palindrome (3677557763).

The spelling of 3234143440 in words is "three billion, two hundred thirty-four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 379 440 758 880 1516 1895 3032 3790 4169 6064 7580 8338 9697 15160 16676 19394 20845 30320 33352 38788 41690 48485 66704 77576 83380 96970 106667 155152 166760 193940 213334 333520 387880 426668 533335 775760 853336 1066670 1706672 2133340 3675163 4266680 7350326 8533360 14700652 18375815 29401304 36751630 40426793 58802608 73503260 80853586 147006520 161707172 202133965 294013040 323414344 404267930 646828688 808535860 1617071720 3234143440