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373923216 = 2434299949
BaseRepresentation
bin10110010010011…
…001110110010000
3222001121021020000
4112102121312100
51231211020331
6101034250000
712160203102
oct2622316620
9861537200
10373923216
11182085057
12a5286900
135c611254
1437937572
1522c620e6
hex16499d90

373923216 has 100 divisors (see below), whose sum is σ = 1119673500. Its totient is φ = 120331008.

The previous prime is 373923203. The next prime is 373923223. The reversal of 373923216 is 612329373.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 202208400 = 13104^2 + 14220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 32610 + ... + 42558.

It is an arithmetic number, because the mean of its divisors is an integer number (11196735).

Almost surely, 2373923216 is an apocalyptic number.

373923216 is a gapful number since it is divisible by the number (36) 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 373923216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559836750).

373923216 is an abundant number, since it is smaller than the sum of its proper divisors (745750284).

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

373923216 is a wasteful number, since it uses less digits than its factorization.

373923216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9983 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 373923216 is about 19337.0943008509. The cubic root of 373923216 is about 720.4339051229.

The spelling of 373923216 in words is "three hundred seventy-three million, nine hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 9949 12528 18792 19898 29847 37584 39796 59694 79592 89541 119388 159184 179082 238776 268623 288521 358164 477552 537246 577042 716328 805869 865563 1074492 1154084 1432656 1611738 1731126 2148984 2308168 2596689 3223476 3462252 4297968 4616336 5193378 6446952 6924504 7790067 10386756 12893904 13849008 15580134 20773512 23370201 31160268 41547024 46740402 62320536 93480804 124641072 186961608 373923216