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3402403020 = 22325116316253
BaseRepresentation
bin1100101011001100…
…1000110011001100
322210010012222111200
43022303020303030
523432003344040
61321341145500
7150212643222
oct31263106314
98703188450
103402403020
111496627825
127ab55b290
13422b87833
14243c34b12
1514da7e630
hexcacc8ccc

3402403020 has 72 divisors (see below), whose sum is σ = 10330132176. Its totient is φ = 906471552.

The previous prime is 3402403019. The next prime is 3402403027. The reversal of 3402403020 is 203042043.

3402403020 is a `hidden beast` number, since 340 + 24 + 0 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3402402984 and 3402403002.

It is not an unprimeable number, because it can be changed into a prime (3402403027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201214 + ... + 217466.

It is an arithmetic number, because the mean of its divisors is an integer number (143474058).

Almost surely, 23402403020 is an apocalyptic number.

3402403020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402403020 is an abundant number, since it is smaller than the sum of its proper divisors (6927729156).

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

3402403020 is a wasteful number, since it uses less digits than its factorization.

3402403020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17431 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3402403020 is about 58330.1210353622. The cubic root of 3402403020 is about 1504.0487684833.

Adding to 3402403020 its reverse (203042043), we get a palindrome (3605445063).

The spelling of 3402403020 in words is "three billion, four hundred two million, four hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1163 2326 3489 4652 5815 6978 10467 11630 13956 16253 17445 20934 23260 32506 34890 41868 48759 52335 65012 69780 81265 97518 104670 146277 162530 195036 209340 243795 292554 325060 487590 585108 731385 975180 1462770 2925540 18902239 37804478 56706717 75608956 94511195 113413434 170120151 189022390 226826868 283533585 340240302 378044780 567067170 680480604 850600755 1134134340 1701201510 3402403020