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4031340320 = 25577349307
BaseRepresentation
bin1111000001001001…
…0101111100100000
3101101221200022021202
43300102111330200
531224010342240
61504005340332
7201620553530
oct36022257440
911357608252
104031340320
11178964a717
129461076a8
134c3275797
142a35914c0
15188db6315
hexf0495f20

4031340320 has 96 divisors (see below), whose sum is σ = 11033947008. Its totient is φ = 1363212288.

The previous prime is 4031340319. The next prime is 4031340323. The reversal of 4031340320 is 230431304.

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

It is a junction number, because it is equal to n+sod(n) for n = 4031340292 and 4031340301.

It is not an unprimeable number, because it can be changed into a prime (4031340323) 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, 57107 + ... + 106413.

It is an arithmetic number, because the mean of its divisors is an integer number (114936948).

Almost surely, 24031340320 is an apocalyptic number.

4031340320 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 4031340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516973504).

4031340320 is an abundant number, since it is smaller than the sum of its proper divisors (7002606688).

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

4031340320 is a wasteful number, since it uses less digits than its factorization.

4031340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49402 (or 49394 counting only the distinct ones).

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

The square root of 4031340320 is about 63492.8367613229. The cubic root of 4031340320 is about 1591.5360760281.

Adding to 4031340320 its reverse (230431304), we get a palindrome (4261771624).

The spelling of 4031340320 in words is "four billion, thirty-one million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 40880 49307 81760 98614 197228 246535 345149 394456 493070 690298 788912 986140 1380596 1577824 1725745 1972280 2761192 3451490 3599411 3944560 5522384 6902980 7198822 7889120 11044768 13805960 14397644 17997055 25195877 27611920 28795288 35994110 50391754 55223840 57590576 71988220 100783508 115181152 125979385 143976440 201567016 251958770 287952880 403134032 503917540 575905760 806268064 1007835080 2015670160 4031340320