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3408990720 = 2935443879
BaseRepresentation
bin1100101100110001…
…0001001000000000
322210120121200010120
43023030101020000
523440200200340
61322134300240
7150322641312
oct31314211000
98716550116
103408990720
11149a317203
127b17b7680
13424353195
14244a6b7b2
1514e4314d0
hexcb311200

3408990720 has 80 divisors (see below), whose sum is σ = 10898141760. Its totient is φ = 909062144.

The previous prime is 3408990661. The next prime is 3408990721. The reversal of 3408990720 is 270998043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34089907202 = 23242435458092236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3408990721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214260 + ... + 229619.

It is an arithmetic number, because the mean of its divisors is an integer number (136226772).

Almost surely, 23408990720 is an apocalyptic number.

3408990720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3408990720 is an abundant number, since it is smaller than the sum of its proper divisors (7489151040).

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

3408990720 is an equidigital number, since it uses as much as digits as its factorization.

3408990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443905 (or 443889 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 3408990720 is about 58386.5628376941. The cubic root of 3408990720 is about 1505.0188509171.

The spelling of 3408990720 in words is "three billion, four hundred eight million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 443879 887758 1331637 1775516 2219395 2663274 3551032 4438790 5326548 6658185 7102064 8877580 10653096 13316370 14204128 17755160 21306192 26632740 28408256 35510320 42612384 53265480 56816512 71020640 85224768 106530960 113633024 142041280 170449536 213061920 227266048 284082560 340899072 426123840 568165120 681798144 852247680 1136330240 1704495360 3408990720