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3402041420 = 225412472153
BaseRepresentation
bin1100101011000111…
…0000100001001100
322210002112121111002
43022301300201030
523431410311140
61321325315432
7150206606051
oct31261604114
98702477432
103402041420
111496400088
127ab405b78
13422a8c07b
14243b7d028
1514da0c415
hexcac7084c

3402041420 has 72 divisors (see below), whose sum is σ = 7482065472. Its totient is φ = 1298775040.

The previous prime is 3402041413. The next prime is 3402041491. The reversal of 3402041420 is 241402043.

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 = 3402041392 and 3402041401.

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 23 ways as a sum of consecutive naturals, for example, 1579064 + ... + 1581216.

It is an arithmetic number, because the mean of its divisors is an integer number (103917576).

Almost surely, 23402041420 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 3402041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741032736).

3402041420 is an abundant number, since it is smaller than the sum of its proper divisors (4080024052).

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

3402041420 is a wasteful number, since it uses less digits than its factorization.

3402041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2248 counting only the distinct ones).

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

The square root of 3402041420 is about 58327.0213537431. The cubic root of 3402041420 is about 1503.9954842506.

Adding to 3402041420 its reverse (241402043), we get a palindrome (3643443463).

The spelling of 3402041420 in words is "three billion, four hundred two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1681 1927 2153 3362 3854 4306 6724 7708 8405 8612 9635 10765 16810 19270 21530 33620 38540 43060 79007 88273 101191 158014 176546 202382 316028 353092 395035 404764 441365 505955 790070 882730 1011910 1580140 1765460 2023820 3619193 4148831 7238386 8297662 14476772 16595324 18095965 20744155 36191930 41488310 72383860 82976620 170102071 340204142 680408284 850510355 1701020710 3402041420