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3400311222 = 2327112838669
BaseRepresentation
bin1100101010101100…
…1010000110110110
322202222021201002200
43022223022012312
523430434424342
61321224245330
7150156111540
oct31253120666
98688251080
103400311222
111495429170
127aa910846
13422604699
1424384c690
1514d7b994c
hexcaaca1b6

3400311222 has 96 divisors (see below), whose sum is σ = 9218776320. Its totient is φ = 879975360.

The previous prime is 3400311217. The next prime is 3400311223. The reversal of 3400311222 is 2221130043.

3400311222 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3400311195 and 3400311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400311223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387904 + ... + 396572.

It is an arithmetic number, because the mean of its divisors is an integer number (96028920).

Almost surely, 23400311222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609388160).

3400311222 is an abundant number, since it is smaller than the sum of its proper divisors (5818465098).

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

3400311222 is a wasteful number, since it uses less digits than its factorization.

3400311222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3400311222 is about 58312.1875940185. The cubic root of 3400311222 is about 1503.7404754757.

Adding to 3400311222 its reverse (2221130043), we get a palindrome (5621441265).

The spelling of 3400311222 in words is "three billion, four hundred million, three hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 283 462 566 693 849 1386 1698 1981 2547 3113 3962 5094 5943 6226 8669 9339 11886 17338 17829 18678 21791 26007 28017 35658 43582 52014 56034 60683 65373 78021 95359 121366 130746 156042 182049 190718 196119 286077 364098 392238 546147 572154 667513 858231 1092294 1335026 1716462 2002539 2453327 4005078 4906654 6007617 7359981 12015234 14719962 17173289 22079943 26986597 34346578 44159886 51519867 53973194 80959791 103039734 154559601 161919582 188906179 242879373 309119202 377812358 485758746 566718537 1133437074 1700155611 3400311222