Search a number
-
+
34020221340 = 22357158351169
BaseRepresentation
bin11111101011110000…
…110110000110011100
310020210221001022021210
4133223300312012130
51024133134040330
623343443224420
72313024052530
oct375360660634
9106727038253
1034020221340
1113478589906
126715378110
1332922468b1
14190a343bc0
15d41a458b0
hex7ebc3619c

34020221340 has 96 divisors (see below), whose sum is σ = 108935608320. Its totient is φ = 7770986496.

The previous prime is 34020221321. The next prime is 34020221341. The reversal of 34020221340 is 4312202043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020221341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639276 + ... + 690444.

It is an arithmetic number, because the mean of its divisors is an integer number (1134745920).

Almost surely, 234020221340 is an apocalyptic number.

34020221340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34020221340 is an abundant number, since it is smaller than the sum of its proper divisors (74915386980).

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

34020221340 is a wasteful number, since it uses less digits than its factorization.

34020221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52771 (or 52769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34020221340 its reverse (4312202043), we get a palindrome (38332423383).

The spelling of 34020221340 in words is "thirty-four billion, twenty million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1583 3166 4749 6332 7915 9498 11081 15830 18996 22162 23745 31660 33243 44324 47490 51169 55405 66486 94980 102338 110810 132972 153507 166215 204676 221620 255845 307014 332430 358183 511690 614028 664860 716366 767535 1023380 1074549 1432732 1535070 1790915 2149098 3070140 3581830 4298196 5372745 7163660 10745490 21490980 81000527 162001054 243001581 324002108 405002635 486003162 567003689 810005270 972006324 1134007378 1215007905 1620010540 1701011067 2268014756 2430015810 2835018445 3402022134 4860031620 5670036890 6804044268 8505055335 11340073780 17010110670 34020221340