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34228458132 = 223111935992243
BaseRepresentation
bin11111111000001011…
…001101001010010100
310021100102212211110120
4133320023031022110
51030044441130012
623420242351540
72321133044061
oct377013151224
9107312784416
1034228458132
1113575088230
12677305b5b0
1332c642602b
141929c6bc68
15d54e7a58c
hex7f82cd294

34228458132 has 96 divisors (see below), whose sum is σ = 87763737600. Its totient is φ = 10296698880.

The previous prime is 34228458127. The next prime is 34228458133. The reversal of 34228458132 is 23185482243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34228458133) 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, 15259003 + ... + 15261245.

It is an arithmetic number, because the mean of its divisors is an integer number (914205600).

Almost surely, 234228458132 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 34228458132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43881868800).

34228458132 is an abundant number, since it is smaller than the sum of its proper divisors (53535279468).

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

34228458132 is a wasteful number, since it uses less digits than its factorization.

34228458132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3051 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 34228458132 in words is "thirty-four billion, two hundred twenty-eight million, four hundred fifty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 599 772 1158 1198 1797 2123 2243 2316 2396 3594 4246 4486 6369 6589 6729 7188 8492 8972 12738 13178 13458 19767 24673 25476 26356 26916 39534 49346 74019 79068 98692 115607 148038 231214 296076 346821 432899 462428 693642 865798 1271677 1298697 1343557 1387284 1731596 2543354 2597394 2687114 3815031 4030671 4761889 5086708 5194788 5374228 7630062 8061342 9523778 14285667 14779127 15260124 16122684 19047556 28571334 29558254 44337381 57142668 59116508 88674762 177349524 259306501 518613002 777919503 1037226004 1555839006 2852371511 3111678012 5704743022 8557114533 11409486044 17114229066 34228458132