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3402414220 = 22526922351
BaseRepresentation
bin1100101011001100…
…1011100010001100
322210010020112212111
43022303023202030
523432004223340
61321341313404
7150213020662
oct31263134214
98703215774
103402414220
111496635187
127ab565864
13422b8c96a
14243c38c32
1514da82aea
hexcaccb88c

3402414220 has 36 divisors (see below), whose sum is σ = 7174780704. Its totient is φ = 1355329600.

The previous prime is 3402414199. The next prime is 3402414251. The reversal of 3402414220 is 224142043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3402414191 and 3402414200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446045 + ... + 1448395.

It is an arithmetic number, because the mean of its divisors is an integer number (199299464).

Almost surely, 23402414220 is an apocalyptic number.

It is an amenable number.

3402414220 is an abundant number, since it is smaller than the sum of its proper divisors (3772366484).

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

3402414220 is a wasteful number, since it uses less digits than its factorization.

3402414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3402414220 is about 58330.2170405700. The cubic root of 3402414220 is about 1504.0504188196.

Adding to 3402414220 its reverse (224142043), we get a palindrome (3626556263).

The spelling of 3402414220 in words is "three billion, four hundred two million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2351 2690 4702 5380 9404 11755 23510 47020 72361 144722 289444 361805 632419 723610 1264838 1447220 2529676 3162095 6324190 12648380 170120711 340241422 680482844 850603555 1701207110 3402414220