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375314944 = 29612197
BaseRepresentation
bin10110010111101…
…101101000000000
3222011012222022111
4112113231220000
51232040034234
6101124145104
712205060444
oct2627555000
9864188274
10375314944
11182945744
12a5838194
135c9aa864
1437bba824
1522e39664
hex165eda00

375314944 has 60 divisors (see below), whose sum is σ = 766261782. Its totient is φ = 183644160.

The previous prime is 375314921. The next prime is 375314969. The reversal of 375314944 is 449413573.

It can be written as a sum of positive squares in 3 ways, for example, as 228614400 + 146700544 = 15120^2 + 12112^2 .

It is a super-2 number, since 2×3753149442 = 281722614379446272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 375314897 and 375314906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1905054 + ... + 1905250.

Almost surely, 2375314944 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 375314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383130891).

375314944 is an abundant number, since it is smaller than the sum of its proper divisors (390946838).

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

375314944 is an frugal number, since it uses more digits than its factorization.

375314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 260 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 375314944 is about 19373.0468434885. The cubic root of 375314944 is about 721.3266077078.

The spelling of 375314944 in words is "three hundred seventy-five million, three hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 197 244 256 394 488 512 788 976 1576 1952 3152 3721 3904 6304 7442 7808 12017 12608 14884 15616 24034 25216 29768 31232 48068 50432 59536 96136 100864 119072 192272 238144 384544 476288 733037 769088 952576 1466074 1538176 1905152 2932148 3076352 5864296 6152704 11728592 23457184 46914368 93828736 187657472 375314944