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350342552 = 23721038677
BaseRepresentation
bin10100111000011…
…100110110011000
3220102020020122002
4110320130312120
51204141430202
654433020132
711452601600
oct2470346630
9812206562
10350342552
1116a8395aa
12993b4648
13577760b1
1434759c00
1520b55302
hex14e1cd98

350342552 has 48 divisors (see below), whose sum is σ = 771647760. Its totient is φ = 148671936.

The previous prime is 350342527. The next prime is 350342599. The reversal of 350342552 is 255243053.

It is a super-3 number, since 3×3503425523 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36038 + ... + 44714.

It is an arithmetic number, because the mean of its divisors is an integer number (16075995).

Almost surely, 2350342552 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 350342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385823880).

350342552 is an abundant number, since it is smaller than the sum of its proper divisors (421305208).

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

350342552 is a wasteful number, since it uses less digits than its factorization.

350342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 350342552 is about 18717.4397821924. The cubic root of 350342552 is about 704.9597093149.

The spelling of 350342552 in words is "three hundred fifty million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1442 2884 5047 5768 8677 10094 17354 20188 34708 40376 60739 69416 121478 242956 425173 485912 850346 893731 1700692 1787462 3401384 3574924 6256117 7149848 12512234 25024468 43792819 50048936 87585638 175171276 350342552