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3428222340 = 2235460312413
BaseRepresentation
bin1100110001010110…
…1000010110000100
322211220210201221210
43030111220112010
524010111103330
61324102411420
7150645260214
oct31425502604
98756721853
103428222340
1114aa162204
127b8130b70
1342832793a
14247436244
15150e7e8b0
hexcc568584

3428222340 has 48 divisors (see below), whose sum is σ = 9601881408. Its totient is φ = 913920384.

The previous prime is 3428222323. The next prime is 3428222411. The reversal of 3428222340 is 432228243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3428222298 and 3428222307.

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 15 ways as a sum of consecutive naturals, for example, 269974 + ... + 282386.

It is an arithmetic number, because the mean of its divisors is an integer number (200039196).

Almost surely, 23428222340 is an apocalyptic number.

3428222340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428222340 is an abundant number, since it is smaller than the sum of its proper divisors (6173659068).

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

3428222340 is a wasteful number, since it uses less digits than its factorization.

3428222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17028 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 3428222340 is about 58551.0233898606. The cubic root of 3428222340 is about 1507.8437038256.

The spelling of 3428222340 in words is "three billion, four hundred twenty-eight million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4603 9206 12413 13809 18412 23015 24826 27618 37239 46030 49652 55236 62065 69045 74478 92060 124130 138090 148956 186195 248260 276180 372390 744780 57137039 114274078 171411117 228548156 285685195 342822234 571370390 685644468 857055585 1142740780 1714111170 3428222340