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3300134240 = 255138917827
BaseRepresentation
bin1100010010110100…
…0000110101100000
322111222210012010002
43010231000311200
523224313243430
61303245155132
7144531451424
oct30455006540
98458705102
103300134240
111443926777
1278125baa8
1340792b470
14234412b84
15144acc845
hexc4b40d60

3300134240 has 96 divisors (see below), whose sum is σ = 8491119840. Its totient is φ = 1204752384.

The previous prime is 3300134237. The next prime is 3300134267. The reversal of 3300134240 is 424310033.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 176207 + ... + 194033.

It is an arithmetic number, because the mean of its divisors is an integer number (88449165).

Almost surely, 23300134240 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 3300134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245559920).

3300134240 is an abundant number, since it is smaller than the sum of its proper divisors (5190985600).

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

3300134240 is a wasteful number, since it uses less digits than its factorization.

3300134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17944 (or 17936 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3300134240 is about 57446.7948627249. The cubic root of 3300134240 is about 1488.8257402819.

Adding to 3300134240 its reverse (424310033), we get a palindrome (3724444273).

The spelling of 3300134240 in words is "three billion, three hundred million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 89 104 130 160 178 208 260 356 416 445 520 712 890 1040 1157 1424 1780 2080 2314 2848 3560 4628 5785 7120 9256 11570 14240 17827 18512 23140 35654 37024 46280 71308 89135 92560 142616 178270 185120 231751 285232 356540 463502 570464 713080 927004 1158755 1426160 1586603 1854008 2317510 2852320 3173206 3708016 4635020 6346412 7416032 7933015 9270040 12692824 15866030 18540080 20625839 25385648 31732060 37080160 41251678 50771296 63464120 82503356 103129195 126928240 165006712 206258390 253856480 330013424 412516780 660026848 825033560 1650067120 3300134240