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3840065240 = 2351138322787
BaseRepresentation
bin1110010011100010…
…1011111011011000
3100220121202112012112
43210320223323120
530331024041430
61433013531452
7164106005324
oct34470537330
910817675175
103840065240
1116a0686940
128b2043b88
1349275486b
14286000984
151771d2195
hexe4e2bed8

3840065240 has 64 divisors (see below), whose sum is σ = 9450639360. Its totient is φ = 1392680320.

The previous prime is 3840065219. The next prime is 3840065267. The reversal of 3840065240 is 425600483.

It is a super-2 number, since 2×38400652402 = 29492202094912515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3840065197 and 3840065206.

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, 157127 + ... + 179913.

It is an arithmetic number, because the mean of its divisors is an integer number (147666240).

Almost surely, 23840065240 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 3840065240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725319680).

3840065240 is an abundant number, since it is smaller than the sum of its proper divisors (5610574120).

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

3840065240 is a wasteful number, since it uses less digits than its factorization.

3840065240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23192 (or 23188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3840065240 is about 61968.2599400693. The cubic root of 3840065240 is about 1565.9559246800.

The spelling of 3840065240 in words is "three billion, eight hundred forty million, sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 383 440 766 1532 1915 3064 3830 4213 7660 8426 15320 16852 21065 22787 33704 42130 45574 84260 91148 113935 168520 182296 227870 250657 455740 501314 911480 1002628 1253285 2005256 2506570 5013140 8727421 10026280 17454842 34909684 43637105 69819368 87274210 96001631 174548420 192003262 349096840 384006524 480008155 768013048 960016310 1920032620 3840065240