Search a number
-
+
34228285884 = 22331321875317
BaseRepresentation
bin11111111000001010…
…100011000110111100
310021100102120002012000
4133320022203012330
51030044420122014
623420234542300
72321131425642
oct377012430674
9107312502160
1034228285884
1113574a7a881
126772b97990
1332c6395800
141929c25192
15d54e44509
hex7f82a31bc

34228285884 has 72 divisors (see below), whose sum is σ = 96091294320. Its totient is φ = 10531774656.

The previous prime is 34228285841. The next prime is 34228285891. The reversal of 34228285884 is 48858282243.

34228285884 is a `hidden beast` number, since 34 + 2 + 2 + 8 + 28 + 588 + 4 = 666.

It is a super-2 number, since 2×342282858842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34228285884.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919407 + ... + 955910.

It is an arithmetic number, because the mean of its divisors is an integer number (1334601310).

Almost surely, 234228285884 is an apocalyptic number.

It is an amenable number.

34228285884 is an abundant number, since it is smaller than the sum of its proper divisors (61863008436).

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

34228285884 is a wasteful number, since it uses less digits than its factorization.

34228285884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875356 (or 1875335 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 34228285884 in words is "thirty-four billion, two hundred twenty-eight million, two hundred eighty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 1875317 3750634 5625951 7501268 11251902 16877853 22503804 24379121 33755706 48758242 50633559 67511412 73137363 97516484 101267118 146274726 202534236 219412089 292549452 316928573 438824178 633857146 658236267 877648356 950785719 1267714292 1316472534 1901571438 2632945068 2852357157 3803142876 5704714314 8557071471 11409428628 17114142942 34228285884