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3345620000 = 25544092
BaseRepresentation
bin1100011101101010…
…0001110000100000
322122011101002211212
43013122201300200
523322434320000
61311552125252
7145623205112
oct30732416040
98564332755
103345620000
111467573908
12794536828
13414195c08
1423a4933b2
15148ab4c35
hexc76a1c20

3345620000 has 90 divisors (see below), whose sum is σ = 8250900273. Its totient is φ = 1334976000.

The previous prime is 3345619993. The next prime is 3345620029. The reversal of 3345620000 is 265433.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 137077264 + 3208542736 = 11708^2 + 56644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=40900.

It is a super-2 number, since 2×33456200002 = 22386346368800000000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8179796 + ... + 8180204.

Almost surely, 23345620000 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 3345620000

3345620000 is an abundant number, since it is smaller than the sum of its proper divisors (4905280273).

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

3345620000 is an frugal number, since it uses more digits than its factorization.

3345620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 3345620000 is about 57841.3347010596. The cubic root of 3345620000 is about 1495.6347159275.

Adding to 3345620000 its reverse (265433), we get a palindrome (3345885433).

The spelling of 3345620000 in words is "three billion, three hundred forty-five million, six hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 409 500 625 800 818 1000 1250 1636 2000 2045 2500 3272 4000 4090 5000 6544 8180 10000 10225 13088 16360 20000 20450 32720 40900 51125 65440 81800 102250 163600 167281 204500 255625 327200 334562 409000 511250 669124 818000 836405 1022500 1338248 1636000 1672810 2045000 2676496 3345620 4090000 4182025 5352992 6691240 8180000 8364050 13382480 16728100 20910125 26764960 33456200 41820250 66912400 83640500 104550625 133824800 167281000 209101250 334562000 418202500 669124000 836405000 1672810000 3345620000