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350042016 = 25319434463
BaseRepresentation
bin10100110111010…
…011011110100000
3220101122222101010
4110313103132200
51204102321031
654422340520
711450210442
oct2467233640
9811588333
10350042016
1116a653825
129928a740
135769c36c
14346bc492
1520ae6246
hex14dd37a0

350042016 has 96 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 107944704.

The previous prime is 350041957. The next prime is 350042023. The reversal of 350042016 is 610240053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 350041983 and 350042001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76201 + ... + 80663.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2350042016 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 350042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

350042016 is an abundant number, since it is smaller than the sum of its proper divisors (639894624).

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

350042016 is a wasteful number, since it uses less digits than its factorization.

350042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 350042016 is about 18709.4098250052. The cubic root of 350042016 is about 704.7580720118.

Adding to 350042016 its reverse (610240053), we get a palindrome (960282069).

The spelling of 350042016 in words is "three hundred fifty million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 228 258 304 344 456 516 608 688 817 912 1032 1376 1634 1824 2064 2451 3268 4128 4463 4902 6536 8926 9804 13072 13389 17852 19608 26144 26778 35704 39216 53556 71408 78432 84797 107112 142816 169594 191909 214224 254391 339188 383818 428448 508782 575727 678376 767636 1017564 1151454 1356752 1535272 2035128 2302908 2713504 3070544 3646271 4070256 4605816 6141088 7292542 8140512 9211632 10938813 14585084 18423264 21877626 29170168 43755252 58340336 87510504 116680672 175021008 350042016