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3400320222 = 234132124199
BaseRepresentation
bin1100101010101100…
…1100010011011110
322202222022011110000
43022223030103132
523430440221342
61321224355130
7150156150015
oct31253142336
98688264400
103400320222
111495434a02
127aa915aa6
13422608800
14243851a7c
1514d7bc44c
hexcaacc4de

3400320222 has 60 divisors (see below), whose sum is σ = 8250481800. Its totient is φ = 1046243952.

The previous prime is 3400320193. The next prime is 3400320223. The reversal of 3400320222 is 2220230043.

3400320222 is a `hidden beast` number, since 340 + 0 + 320 + 2 + 2 + 2 = 666.

It is a super-2 number, since 2×34003202222 = 23124355224284258568, which contains 22 as substring.

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 = 3400320195 and 3400320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400320223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 34722 + ... + 89477.

It is an arithmetic number, because the mean of its divisors is an integer number (137508030).

Almost surely, 23400320222 is an apocalyptic number.

3400320222 is an abundant number, since it is smaller than the sum of its proper divisors (4850161578).

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

3400320222 is a wasteful number, since it uses less digits than its factorization.

3400320222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124239 (or 124217 counting only the distinct ones).

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

The square root of 3400320222 is about 58312.2647647988. The cubic root of 3400320222 is about 1503.7418021829.

Adding to 3400320222 its reverse (2220230043), we get a palindrome (5620550265).

The spelling of 3400320222 in words is "three billion, four hundred million, three hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 124199 248398 372597 745194 1117791 1614587 2235582 3229174 3353373 4843761 6706746 9687522 10060119 14531283 20120238 20989631 29062566 41979262 43593849 62968893 87187698 125937786 130781547 188906679 261563094 377813358 566720037 1133440074 1700160111 3400320222