Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
34013021406 = 23721383910607
BaseRepresentation
bin11111101011010101…
…011000010011011110
310020210102111111211120
4133223111120103132
51024124313141111
623343025031410
72312605624500
oct375325302336
9106712444746
1034013021406
1113474511451
126712a85566
1332908c5690
1419093cbd70
15d410c2406
hex7eb5584de

34013021406 has 96 divisors (see below), whose sum is σ = 85329054720. Its totient is φ = 8958930624.

The previous prime is 34013021401. The next prime is 34013021411. The reversal of 34013021406 is 60412031043.

It is an interprime number because it is at equal distance from previous prime (34013021401) and next prime (34013021411).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013021401) 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, 3201355 + ... + 3211961.

It is an arithmetic number, because the mean of its divisors is an integer number (888844320).

Almost surely, 234013021406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013021406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42664527360).

34013021406 is an abundant number, since it is smaller than the sum of its proper divisors (51316033314).

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

34013021406 is a wasteful number, since it uses less digits than its factorization.

34013021406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34013021406 its reverse (60412031043), we get a palindrome (94425052449).

The spelling of 34013021406 in words is "thirty-four billion, thirteen million, twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 839 1274 1678 1911 2517 3822 5034 5873 10607 10907 11746 17619 21214 21814 31821 32721 35238 41111 63642 65442 74249 76349 82222 123333 137891 148498 152698 222747 229047 246666 275782 413673 445494 458094 519743 534443 827346 965237 1039486 1068886 1559229 1603329 1930474 2895711 3118458 3206658 5791422 6756659 8899273 13513318 17798546 20269977 26697819 40539954 53395638 62294911 115690549 124589822 186884733 231381098 347071647 373769466 436064377 694143294 809833843 872128754 1308193131 1619667686 2429501529 2616386262 4859003058 5668836901 11337673802 17006510703 34013021406