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350084538 = 23319834111
BaseRepresentation
bin10100110111011…
…101110110111010
3220101202010201000
4110313131312322
51204110201123
654423305430
711450445426
oct2467356672
9811663630
10350084538
1116a682771
12992ab276
13576b581b
14346cdb86
1520b03b43
hex14ddddba

350084538 has 64 divisors (see below), whose sum is σ = 828979200. Its totient is φ = 109194480.

The previous prime is 350084533. The next prime is 350084593. The reversal of 350084538 is 835480053.

It is not an unprimeable number, because it can be changed into a prime (350084533) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83103 + ... + 87213.

It is an arithmetic number, because the mean of its divisors is an integer number (12952800).

Almost surely, 2350084538 is an apocalyptic number.

350084538 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350084538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414489600).

350084538 is an abundant number, since it is smaller than the sum of its proper divisors (478894662).

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

350084538 is a wasteful number, since it uses less digits than its factorization.

350084538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 350084538 is about 18710.5461705424. The cubic root of 350084538 is about 704.7866081189.

The spelling of 350084538 in words is "three hundred fifty million, eighty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 83 114 166 171 249 342 498 513 747 1026 1494 1577 2241 3154 4111 4482 4731 8222 9462 12333 14193 24666 28386 36999 42579 73998 78109 85158 110997 156218 221994 234327 341213 468654 682426 702981 1023639 1405962 2047278 2108943 3070917 4217886 6141834 6483047 9212751 12966094 18425502 19449141 38898282 58347423 116694846 175042269 350084538