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350145516 = 2237107163239
BaseRepresentation
bin10100110111101…
…100101111101100
3220101212020100110
4110313230233230
51204114124031
654424500020
711451121260
oct2467545754
9811766313
10350145516
1116a714566
129931a610
13577074c6
14347080a0
1520b16c46
hex14decbec

350145516 has 96 divisors (see below), whose sum is σ = 952197120. Its totient is φ = 98086464.

The previous prime is 350145511. The next prime is 350145539. The reversal of 350145516 is 615541053.

It is not an unprimeable number, because it can be changed into a prime (350145511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464925 + ... + 1465163.

It is an arithmetic number, because the mean of its divisors is an integer number (9918720).

Almost surely, 2350145516 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 350145516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476098560).

350145516 is an abundant number, since it is smaller than the sum of its proper divisors (602051604).

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

350145516 is a wasteful number, since it uses less digits than its factorization.

350145516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 350145516 is about 18712.1756084107. The cubic root of 350145516 is about 704.8275258384.

Adding to 350145516 its reverse (615541053), we get a palindrome (965686569).

The spelling of 350145516 in words is "three hundred fifty million, one hundred forty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 163 214 239 321 326 428 478 489 642 652 717 749 956 978 1141 1284 1434 1498 1673 1956 2247 2282 2868 2996 3346 3423 4494 4564 5019 6692 6846 8988 10038 13692 17441 20076 25573 34882 38957 51146 52323 69764 76719 77914 102292 104646 116871 122087 153438 155828 179011 209292 233742 244174 272699 306876 358022 366261 467484 488348 537033 545398 716044 732522 818097 1074066 1090796 1465044 1636194 2148132 3272388 4168399 8336798 12505197 16673596 25010394 29178793 50020788 58357586 87536379 116715172 175072758 350145516