Search a number
-
+
3423356310 = 2351180912823
BaseRepresentation
bin1100110000001100…
…0100010110010110
322211120122112000110
43030003010112112
524002334400220
61323410223450
7150556022433
oct31403042626
98746575013
103423356310
1114a74392a0
127b6584b86
13427312b2a
1424692ab8a
1515081cbe0
hexcc0c4596

3423356310 has 64 divisors (see below), whose sum is σ = 8974748160. Its totient is φ = 828814080.

The previous prime is 3423356309. The next prime is 3423356333. The reversal of 3423356310 is 136533243.

It is a super-2 number, since 2×34233563102 = 23438736850433632200, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 260559 + ... + 273381.

It is an arithmetic number, because the mean of its divisors is an integer number (140230440).

Almost surely, 23423356310 is an apocalyptic number.

3423356310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423356310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487374080).

3423356310 is an abundant number, since it is smaller than the sum of its proper divisors (5551391850).

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

3423356310 is a wasteful number, since it uses less digits than its factorization.

3423356310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13653.

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3423356310 is about 58509.4548769684. The cubic root of 3423356310 is about 1507.1299532577.

Adding to 3423356310 its reverse (136533243), we get a palindrome (3559889553).

The spelling of 3423356310 in words is "three billion, four hundred twenty-three million, three hundred fifty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 809 1618 2427 4045 4854 8090 8899 12135 12823 17798 24270 25646 26697 38469 44495 53394 64115 76938 88990 128230 133485 141053 192345 266970 282106 384690 423159 705265 846318 1410530 2115795 4231590 10373807 20747614 31121421 51869035 62242842 103738070 114111877 155607105 228223754 311214210 342335631 570559385 684671262 1141118770 1711678155 3423356310