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352051234432 = 2761233193513
BaseRepresentation
bin1010001111101111110…
…00111000011010000000
31020122201001111201000121
411013313320320122000
521232000104000212
6425421411430024
734302105055402
oct5076770703200
91218631451017
10352051234432
11126338820117
12582912b5314
1327276843c01
141307a066b72
159257186d07
hex51f7e38680

352051234432 has 64 divisors (see below), whose sum is σ = 715912783560. Its totient is φ = 172395970560.

The previous prime is 352051234427. The next prime is 352051234439. The reversal of 352051234432 is 234432150253.

It can be written as a sum of positive squares in 4 ways, for example, as 222836867136 + 129214367296 = 472056^2 + 359464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (352051234439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722508 + ... + 1916020.

Almost surely, 2352051234432 is an apocalyptic number.

352051234432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352051234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357956391780).

352051234432 is an abundant number, since it is smaller than the sum of its proper divisors (363861549128).

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

352051234432 is a wasteful number, since it uses less digits than its factorization.

352051234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193821 (or 193809 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 352051234432 its reverse (234432150253), we get a palindrome (586483384685).

The spelling of 352051234432 in words is "three hundred fifty-two billion, fifty-one million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 233 244 466 488 932 976 1864 1952 3728 3904 7456 7808 14213 14912 28426 29824 56852 113704 193513 227408 387026 454816 774052 909632 1548104 1819264 3096208 6192416 11804293 12384832 23608586 24769664 45088529 47217172 90177058 94434344 180354116 188868688 360708232 377737376 721416464 755474752 1442832928 1510949504 2750400269 2885665856 5500800538 5771331712 11001601076 22003202152 44006404304 88012808608 176025617216 352051234432