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3404402120 = 235799112269
BaseRepresentation
bin1100101011101011…
…0000110111001000
322210020222112202102
43022322300313020
523433011331440
61321452052532
7150235640420
oct31272606710
98706875672
103404402120
111497772779
127b0164148
13423407732
142441d5480
1514dd26b15
hexcaeb0dc8

3404402120 has 64 divisors (see below), whose sum is σ = 8763724800. Its totient is φ = 1165950720.

The previous prime is 3404402117. The next prime is 3404402147. The reversal of 3404402120 is 212044043.

3404402120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3404402092 and 3404402101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271346 + ... + 283614.

It is an arithmetic number, because the mean of its divisors is an integer number (136933200).

Almost surely, 23404402120 is an apocalyptic number.

It is an amenable number.

3404402120 is an abundant number, since it is smaller than the sum of its proper divisors (5359322680).

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

3404402120 is a wasteful number, since it uses less digits than its factorization.

3404402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3404402120 is about 58347.2546055082. The cubic root of 3404402120 is about 1504.3432814292.

Adding to 3404402120 its reverse (212044043), we get a palindrome (3616446163).

The spelling of 3404402120 in words is "three billion, four hundred four million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 991 1982 3964 4955 6937 7928 9910 12269 13874 19820 24538 27748 34685 39640 49076 55496 61345 69370 85883 98152 122690 138740 171766 245380 277480 343532 429415 490760 687064 858830 1717660 3435320 12158579 24317158 48634316 60792895 85110053 97268632 121585790 170220106 243171580 340440212 425550265 486343160 680880424 851100530 1702201060 3404402120