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373379920 = 245892292
BaseRepresentation
bin10110010000010…
…101001101010000
3222000120122221221
4112100111031100
51231041124140
6101014454424
712152451124
oct2620251520
9860518857
10373379920
11181843951
12a5064414
135c480b84
1437835584
1522ba614a
hex16415350

373379920 has 60 divisors (see below), whose sum is σ = 881712540. Its totient is φ = 147028992.

The previous prime is 373379917. The next prime is 373379933. The reversal of 373379920 is 29973373.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29203216 + 344176704 = 5404^2 + 18552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1630366 + ... + 1630594.

It is an arithmetic number, because the mean of its divisors is an integer number (14695209).

Almost surely, 2373379920 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 373379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440856270).

373379920 is an abundant number, since it is smaller than the sum of its proper divisors (508332620).

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

373379920 is an equidigital number, since it uses as much as digits as its factorization.

373379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 43.

The square root of 373379920 is about 19323.0411685118. The cubic root of 373379920 is about 720.0848151114.

The spelling of 373379920 in words is "three hundred seventy-three million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 229 356 445 458 712 890 916 1145 1424 1780 1832 2290 3560 3664 4580 7120 9160 18320 20381 40762 52441 81524 101905 104882 163048 203810 209764 262205 326096 407620 419528 524410 815240 839056 1048820 1630480 2097640 4195280 4667249 9334498 18668996 23336245 37337992 46672490 74675984 93344980 186689960 373379920