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350055432 = 23341743739
BaseRepresentation
bin10100110111010…
…110110000001000
3220101200122210000
4110313112300020
51204103233212
654422523000
711450264526
oct2467266010
9811618700
10350055432
1116a662911
1299296460
13576a54bc
14346c3316
1520aea1dc
hex14dd6c08

350055432 has 160 divisors (see below), whose sum is σ = 1063735200. Its totient is φ = 107122176.

The previous prime is 350055401. The next prime is 350055439. The reversal of 350055432 is 234550053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 350055396 and 350055405.

It is not an unprimeable number, because it can be changed into a prime (350055439) 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 39 ways as a sum of consecutive naturals, for example, 473319 + ... + 474057.

It is an arithmetic number, because the mean of its divisors is an integer number (6648345).

Almost surely, 2350055432 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 350055432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531867600).

350055432 is an abundant number, since it is smaller than the sum of its proper divisors (713679768).

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

350055432 is a wasteful number, since it uses less digits than its factorization.

350055432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 350055432 is about 18709.7683577323. The cubic root of 350055432 is about 704.7670756105.

The spelling of 350055432 in words is "three hundred fifty million, fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 81 86 102 108 129 136 153 162 172 204 216 258 306 324 344 387 408 459 516 612 648 731 739 774 918 1032 1161 1224 1377 1462 1478 1548 1836 2193 2217 2322 2754 2924 2956 3096 3483 3672 4386 4434 4644 5508 5848 5912 6579 6651 6966 8772 8868 9288 11016 12563 13158 13302 13932 17544 17736 19737 19953 25126 26316 26604 27864 31777 37689 39474 39906 50252 52632 53208 59211 59859 63554 75378 78948 79812 95331 100504 113067 118422 119718 127108 150756 157896 159624 190662 226134 236844 239436 254216 285993 301512 339201 381324 452268 473688 478872 540209 571986 678402 762648 857979 904536 1017603 1080418 1143972 1356804 1620627 1715958 2035206 2160836 2287944 2573937 2713608 3241254 3431916 4070412 4321672 4861881 5147874 6482508 6863832 8140824 9723762 10295748 12965016 14585643 19447524 20591496 29171286 38895048 43756929 58342572 87513858 116685144 175027716 350055432