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4234534720 = 265133732729
BaseRepresentation
bin1111110001100101…
…1101111101000000
3101221010000122121021
43330121131331000
532133020102340
61540104435224
7206635644163
oct37431357500
911833018537
104234534720
111883314679
129a2178b14
135263aaa60
142c2565ada
1519bb51e4a
hexfc65df40

4234534720 has 112 divisors (see below), whose sum is σ = 10892241360. Its totient is φ = 1558757376.

The previous prime is 4234534699. The next prime is 4234534723. The reversal of 4234534720 is 274354324.

It can be written as a sum of positive squares in 8 ways, for example, as 11614464 + 4222920256 = 3408^2 + 64984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234534723) 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, 1550316 + ... + 1553044.

It is an arithmetic number, because the mean of its divisors is an integer number (97252155).

Almost surely, 24234534720 is an apocalyptic number.

4234534720 is a gapful number since it is divisible by the number (40) 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 4234534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446120680).

4234534720 is an abundant number, since it is smaller than the sum of its proper divisors (6657706640).

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

4234534720 is a wasteful number, since it uses less digits than its factorization.

4234534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 4234534720 is about 65073.3026670692. The cubic root of 4234534720 is about 1617.8387477748.

The spelling of 4234534720 in words is "four billion, two hundred thirty-four million, five hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 373 416 520 746 832 1040 1492 1865 2080 2729 2984 3730 4160 4849 5458 5968 7460 9698 10916 11936 13645 14920 19396 21832 23872 24245 27290 29840 35477 38792 43664 48490 54580 59680 70954 77584 87328 96980 109160 119360 141908 155168 174656 177385 193960 218320 283816 310336 354770 387920 436640 567632 709540 775840 873280 1017917 1135264 1419080 1551680 2035834 2270528 2838160 4071668 5089585 5676320 8143336 10179170 11352640 13232921 16286672 20358340 26465842 32573344 40716680 52931684 65146688 66164605 81433360 105863368 132329210 162866720 211726736 264658420 325733440 423453472 529316840 846906944 1058633680 2117267360 4234534720