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350009816 = 231322979113
BaseRepresentation
bin10100110111001…
…011100111011000
3220101121100012112
4110313023213120
51204100303231
654421531452
711450014532
oct2467134730
9811540175
10350009816
1116a631612
1299273b88
135768a800
14346b0852
1520adb92b
hex14dcb9d8

350009816 has 96 divisors (see below), whose sum is σ = 751032000. Its totient is φ = 152635392.

The previous prime is 350009797. The next prime is 350009819. The reversal of 350009816 is 618900053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350009819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3097376 + ... + 3097488.

It is an arithmetic number, because the mean of its divisors is an integer number (7823250).

Almost surely, 2350009816 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 350009816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375516000).

350009816 is an abundant number, since it is smaller than the sum of its proper divisors (401022184).

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

350009816 is a wasteful number, since it uses less digits than its factorization.

350009816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 350009816 is about 18708.5492756654. The cubic root of 350009816 is about 704.7364613625.

Adding to 350009816 its reverse (618900053), we get a palindrome (968909869).

The spelling of 350009816 in words is "three hundred fifty million, nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 29 52 58 79 104 113 116 158 169 226 232 316 338 377 452 632 676 754 904 1027 1352 1469 1508 2054 2291 2938 3016 3277 4108 4582 4901 5876 6554 8216 8927 9164 9802 11752 13108 13351 17854 18328 19097 19604 26216 26702 29783 35708 38194 39208 42601 53404 59566 71416 76388 85202 106808 116051 119132 152776 170404 232102 238264 258883 340808 387179 464204 517766 553813 774358 928408 1035532 1107626 1508663 1548716 2071064 2215252 3017326 3097432 3365479 4430504 6034652 6730958 12069304 13461916 26923832 43751227 87502454 175004908 350009816