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3302240240 = 245135775503
BaseRepresentation
bin1100010011010100…
…0010111111110000
322112010202012000002
43010311002333300
523230333141430
61303402245132
7144555402365
oct30465027760
98463665002
103302240240
111445034a72
12781ab67a8
134081b7c10
1423480046c
15144d96845
hexc4d42ff0

3302240240 has 80 divisors (see below), whose sum is σ = 8284136448. Its totient is φ = 1216954368.

The previous prime is 3302240239. The next prime is 3302240251. The reversal of 3302240240 is 420422033.

3302240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 597329 + ... + 602831.

Almost surely, 23302240240 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 3302240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142068224).

3302240240 is an abundant number, since it is smaller than the sum of its proper divisors (4981896208).

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

3302240240 is a wasteful number, since it uses less digits than its factorization.

3302240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3302240240 is about 57465.1219436625. The cubic root of 3302240240 is about 1489.1423738938.

Adding to 3302240240 its reverse (420422033), we get a palindrome (3722662273).

The spelling of 3302240240 in words is "three billion, three hundred two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 577 1040 1154 2308 2885 4616 5503 5770 7501 9232 11006 11540 15002 22012 23080 27515 30004 37505 44024 46160 55030 60008 71539 75010 88048 110060 120016 143078 150020 220120 286156 300040 357695 440240 572312 600080 715390 1144624 1430780 2861560 3175231 5723120 6350462 12700924 15876155 25401848 31752310 41278003 50803696 63504620 82556006 127009240 165112012 206390015 254018480 330224024 412780030 660448048 825560060 1651120120 3302240240