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354534642 = 2327111913463
BaseRepresentation
bin10101001000011…
…100010011110010
3220201010020002200
4111020130103302
51211230102032
655102524030
711533331460
oct2510342362
9821106080
10354534642
11172142140
129a896616
13585b3217
143512b830
15211d247c
hex1521c4f2

354534642 has 96 divisors (see below), whose sum is σ = 1008184320. Its totient is φ = 87233760.

The previous prime is 354534641. The next prime is 354534679. The reversal of 354534642 is 246435453.

354534642 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 3 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 354534597 and 354534606.

It is not an unprimeable number, because it can be changed into a prime (354534641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19603 + ... + 33065.

It is an arithmetic number, because the mean of its divisors is an integer number (10501920).

Almost surely, 2354534642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354534642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504092160).

354534642 is an abundant number, since it is smaller than the sum of its proper divisors (653649678).

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

354534642 is a wasteful number, since it uses less digits than its factorization.

354534642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13505 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 354534642 is about 18829.0903125987. The cubic root of 354534642 is about 707.7603445306.

The spelling of 354534642 in words is "three hundred fifty-four million, five hundred thirty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13167 13463 26334 26926 40389 80778 94241 121167 148093 188482 242334 255797 282723 296186 444279 511594 565446 767391 848169 888558 1036651 1332837 1534782 1696338 1790579 2073302 2302173 2665674 2813767 3109953 3581158 4604346 5371737 5627534 6219906 8441301 9329859 10743474 16115211 16882602 18659718 19696369 25323903 32230422 39392738 50647806 59089107 118178214 177267321 354534642