Search a number
-
+
34242221420 = 225111933124749
BaseRepresentation
bin11111111000111111…
…101101010101101100
310021101101210002010222
4133320333231111230
51030112002041140
623421453350512
72321361036221
oct377077552554
9107341702128
1034242221420
1113581928850
126777798438
1332c92347a4
14192ba11948
15d562985b5
hex7f8fed56c

34242221420 has 96 divisors (see below), whose sum is σ = 82827360000. Its totient is φ = 11760249600.

The previous prime is 34242221417. The next prime is 34242221437. The reversal of 34242221420 is 2412224243.

It is a self number, because there is not a number n which added to its sum of digits gives 34242221420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371206 + ... + 1395954.

It is an arithmetic number, because the mean of its divisors is an integer number (862785000).

Almost surely, 234242221420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34242221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41413680000).

34242221420 is an abundant number, since it is smaller than the sum of its proper divisors (48585138580).

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

34242221420 is a wasteful number, since it uses less digits than its factorization.

34242221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25119 (or 25117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 34242221420 its reverse (2412224243), we get a palindrome (36654445663).

The spelling of 34242221420 in words is "thirty-four billion, two hundred forty-two million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 331 380 418 662 836 1045 1324 1655 2090 3310 3641 4180 6289 6620 7282 12578 14564 18205 24749 25156 31445 36410 49498 62890 69179 72820 98996 123745 125780 138358 247490 272239 276716 345895 470231 494980 544478 691790 940462 1088956 1361195 1383580 1880924 2351155 2722390 4702310 5172541 5444780 8191919 9404620 10345082 16383838 20690164 25862705 32767676 40959595 51725410 81919190 90111109 103450820 155646461 163838380 180222218 311292922 360444436 450555545 622585844 778232305 901111090 1556464610 1712111071 1802222180 3112929220 3424222142 6848444284 8560555355 17121110710 34242221420