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3400220000 = 2554197863
BaseRepresentation
bin1100101010101011…
…0011110101100000
322202222010001222002
43022222303311200
523430424020000
61321222303132
7150155251562
oct31252636540
98688101862
103400220000
111495376681
127aa887aa8
134225a1cc8
14243827332
1514d79c8d5
hexcaab3d60

3400220000 has 120 divisors (see below), whose sum is σ = 8417255616. Its totient is φ = 1351616000.

The previous prime is 3400219981. The next prime is 3400220003. The reversal of 3400220000 is 220043.

3400220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34002200002 = 23122992096800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400220003) 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, 3939569 + ... + 3940431.

Almost surely, 23400220000 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 3400220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208627808).

3400220000 is an abundant number, since it is smaller than the sum of its proper divisors (5017035616).

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

3400220000 is an equidigital number, since it uses as much as digits as its factorization.

3400220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3400220000 is about 58311.4054023739. The cubic root of 3400220000 is about 1503.7270281340.

Adding to 3400220000 its reverse (220043), we get a palindrome (3400440043).

The spelling of 3400220000 in words is "three billion, four hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 863 985 1000 1250 1576 1726 1970 2000 2500 3152 3452 3940 4000 4315 4925 5000 6304 6904 7880 8630 9850 10000 13808 15760 17260 19700 20000 21575 24625 27616 31520 34520 39400 43150 49250 69040 78800 86300 98500 107875 123125 138080 157600 170011 172600 197000 215750 246250 340022 345200 394000 431500 492500 539375 680044 690400 788000 850055 863000 985000 1078750 1360088 1700110 1726000 1970000 2157500 2720176 3400220 3452000 3940000 4250275 4315000 5440352 6800440 8500550 8630000 13600880 17001100 17260000 21251375 27201760 34002200 42502750 68004400 85005500 106256875 136008800 170011000 212513750 340022000 425027500 680044000 850055000 1700110000 3400220000