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350550912 = 27319232089
BaseRepresentation
bin10100111001001…
…111101110000000
3220102121211110010
4110321033232000
51204220112122
654441304520
711454430215
oct2471175600
9812554403
10350550912
1116a9710a8
1299495140
1357819b9a
14347b1b0c
1520b96e0c
hex14e4fb80

350550912 has 128 divisors (see below), whose sum is σ = 1023264000. Its totient is φ = 105836544.

The previous prime is 350550899. The next prime is 350550917. The reversal of 350550912 is 219055053.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3505509123 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 350550912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350550917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166764 + ... + 168852.

It is an arithmetic number, because the mean of its divisors is an integer number (7994250).

Almost surely, 2350550912 is an apocalyptic number.

350550912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350550912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511632000).

350550912 is an abundant number, since it is smaller than the sum of its proper divisors (672713088).

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

350550912 is a wasteful number, since it uses less digits than its factorization.

350550912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 350550912 is about 18723.0048870367. The cubic root of 350550912 is about 705.0994357004.

The spelling of 350550912 in words is "three hundred fifty million, five hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 276 304 368 384 437 456 552 608 736 874 912 1104 1216 1311 1472 1748 1824 2089 2208 2432 2622 2944 3496 3648 4178 4416 5244 6267 6992 7296 8356 8832 10488 12534 13984 16712 20976 25068 27968 33424 39691 41952 48047 50136 55936 66848 79382 83904 96094 100272 119073 133696 144141 158764 167808 192188 200544 238146 267392 288282 317528 384376 401088 476292 576564 635056 768752 802176 912893 952584 1153128 1270112 1537504 1825786 1905168 2306256 2540224 2738679 3075008 3651572 3810336 4612512 5080448 5477358 6150016 7303144 7620672 9225024 10954716 14606288 15241344 18450048 21909432 29212576 43818864 58425152 87637728 116850304 175275456 350550912