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350025144 = 233719532069
BaseRepresentation
bin10100110111001…
…111010110111000
3220101122010020020
4110313033112320
51204101301034
654422130440
711450110320
oct2467172670
9811563206
10350025144
1116a642087
1299280a20
1357694791
14346b6280
1520ae1249
hex14dcf5b8

350025144 has 128 divisors (see below), whose sum is σ = 1073088000. Its totient is φ = 92911104.

The previous prime is 350025139. The next prime is 350025199. The reversal of 350025144 is 441520053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168142 + ... + 170210.

It is an arithmetic number, because the mean of its divisors is an integer number (8383500).

Almost surely, 2350025144 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 350025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536544000).

350025144 is an abundant number, since it is smaller than the sum of its proper divisors (723062856).

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

350025144 is a wasteful number, since it uses less digits than its factorization.

350025144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 350025144 is about 18708.9589234677. The cubic root of 350025144 is about 704.7467487337.

Adding to 350025144 its reverse (441520053), we get a palindrome (791545197).

The spelling of 350025144 in words is "three hundred fifty million, twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 798 1007 1064 1113 1272 1484 1596 2014 2069 2226 2968 3021 3192 4028 4138 4452 6042 6207 7049 8056 8276 8904 12084 12414 14098 14483 16552 21147 24168 24828 28196 28966 39311 42294 43449 49656 56392 57932 78622 84588 86898 109657 115864 117933 157244 169176 173796 219314 235866 275177 314488 328971 347592 438628 471732 550354 657942 767599 825531 877256 943464 1100708 1315884 1535198 1651062 2083483 2201416 2302797 2631768 3070396 3302124 4166966 4605594 6140792 6250449 6604248 8333932 9211188 12500898 14584381 16667864 18422376 25001796 29168762 43753143 50003592 58337524 87506286 116675048 175012572 350025144