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4020340000 = 25541791123
BaseRepresentation
bin1110111110100001…
…1000010100100000
3101101011222102200111
43233220120110200
531213201340000
61502533501104
7201425216605
oct35750302440
911334872614
104020340000
111783416a46
129424a1794
134c0bc3811
142a1d2a6ac
15187e41cba
hexefa18520

4020340000 has 120 divisors (see below), whose sum is σ = 9954750960. Its totient is φ = 1597728000.

The previous prime is 4020339991. The next prime is 4020340007. The reversal of 4020340000 is 430204.

It is not an unprimeable number, because it can be changed into a prime (4020340007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3579439 + ... + 3580561.

It is an arithmetic number, because the mean of its divisors is an integer number (82956258).

Almost surely, 24020340000 is an apocalyptic number.

4020340000 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 4020340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977375480).

4020340000 is an abundant number, since it is smaller than the sum of its proper divisors (5934410960).

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

4020340000 is a wasteful number, since it uses less digits than its factorization.

4020340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4020340000 is about 63406.1511211649. The cubic root of 4020340000 is about 1590.0871489487.

Adding to 4020340000 its reverse (430204), we get a palindrome (4020770204).

The spelling of 4020340000 in words is "four billion, twenty million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 625 716 800 895 1000 1123 1250 1432 1790 2000 2246 2500 2864 3580 4000 4475 4492 5000 5615 5728 7160 8950 8984 10000 11230 14320 17900 17968 20000 22375 22460 28075 28640 35800 35936 44750 44920 56150 71600 89500 89840 111875 112300 140375 143200 179000 179680 201017 223750 224600 280750 358000 402034 447500 449200 561500 701875 716000 804068 895000 898400 1005085 1123000 1403750 1608136 1790000 2010170 2246000 2807500 3216272 3580000 4020340 4492000 5025425 5615000 6432544 8040680 10050850 11230000 16081360 20101700 22460000 25127125 32162720 40203400 50254250 80406800 100508500 125635625 160813600 201017000 251271250 402034000 502542500 804068000 1005085000 2010170000 4020340000