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1037378381 = 13538811709
BaseRepresentation
bin111101110101010…
…010001101001101
32200022000021121112
4331311102031031
54111032102011
6250534341405
734464366524
oct7565221515
92608007545
101037378381
11492633806
1224b4ba865
13136bc6680
149babb4bb
156111658b
hex3dd5234d

1037378381 has 16 divisors (see below), whose sum is σ = 1140214320. Its totient is φ = 937896960.

The previous prime is 1037378357. The next prime is 1037378387. The reversal of 1037378381 is 1838737301.

It can be written as a sum of positive squares in 8 ways, for example, as 177129481 + 860248900 = 13309^2 + 29330^2 .

It is a de Polignac number, because none of the positive numbers 2k-1037378381 is a prime.

It is a super-2 number, since 2×10373783812 = 2152307810732362322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037378387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606155 + ... + 607863.

It is an arithmetic number, because the mean of its divisors is an integer number (71263395).

Almost surely, 21037378381 is an apocalyptic number.

It is an amenable number.

1037378381 is a deficient number, since it is larger than the sum of its proper divisors (102835939).

1037378381 is a wasteful number, since it uses less digits than its factorization.

1037378381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 1037378381 is about 32208.3588684677. The cubic root of 1037378381 is about 1012.3073676310.

The spelling of 1037378381 in words is "one billion, thirty-seven million, three hundred seventy-eight thousand, three hundred eighty-one".

Divisors: 1 13 53 689 881 1709 11453 22217 46693 90577 607009 1177501 1505629 19573177 79798337 1037378381