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34211430020 = 225171949910613
BaseRepresentation
bin11111110111001010…
…001111111010000100
310021022020211201021202
4133313022033322010
51030031111230040
623414433402032
72320535233325
oct376712177204
9107266751252
1034211430020
1113566507809
126769409318
1332c2a43521
1419278b844c
15d53715015
hex7f728fe84

34211430020 has 96 divisors (see below), whose sum is σ = 80241840000. Its totient is φ = 12176123904.

The previous prime is 34211430013. The next prime is 34211430047. The reversal of 34211430020 is 2003411243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34211429974 and 34211430001.

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, 3218234 + ... + 3228846.

It is an arithmetic number, because the mean of its divisors is an integer number (835852500).

Almost surely, 234211430020 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 34211430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40120920000).

34211430020 is an abundant number, since it is smaller than the sum of its proper divisors (46030409980).

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

34211430020 is a wasteful number, since it uses less digits than its factorization.

34211430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34211430020 its reverse (2003411243), we get a palindrome (36214841263).

The spelling of 34211430020 in words is "thirty-four billion, two hundred eleven million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 499 646 998 1292 1615 1996 2495 3230 4990 6460 8483 9481 9980 10613 16966 18962 21226 33932 37924 42415 42452 47405 53065 84830 94810 106130 161177 169660 180421 189620 201647 212260 322354 360842 403294 644708 721684 805885 806588 902105 1008235 1611770 1804210 2016470 3223540 3427999 3608420 4032940 5295887 6855998 10591774 13711996 17139995 21183548 26479435 34279990 52958870 68559980 90030079 100621853 105917740 180060158 201243706 360120316 402487412 450150395 503109265 900300790 1006218530 1710571501 1800601580 2012437060 3421143002 6842286004 8552857505 17105715010 34211430020