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37678340 = 2257269131
BaseRepresentation
bin1000111110111…
…0110100000100
32121220020222002
42033232310010
534121201330
63423324432
7635155250
oct217566404
977806862
1037678340
111a2a5327
1210750718
137a62b9b
14500b260
153493e45
hex23eed04

37678340 has 24 divisors (see below), whose sum is σ = 90428352. Its totient is φ = 12918240.

The previous prime is 37678331. The next prime is 37678343. The reversal of 37678340 is 4387673.

37678340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 37678294 and 37678303.

It is not an unprimeable number, because it can be changed into a prime (37678343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 134426 + ... + 134705.

It is an arithmetic number, because the mean of its divisors is an integer number (3767848).

Almost surely, 237678340 is an apocalyptic number.

It is an amenable number.

37678340 is an abundant number, since it is smaller than the sum of its proper divisors (52750012).

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

37678340 is a wasteful number, since it uses less digits than its factorization.

37678340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269147 (or 269145 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 37678340 is about 6138.2684854933. The cubic root of 37678340 is about 335.2462435465.

The spelling of 37678340 in words is "thirty-seven million, six hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269131 538262 1076524 1345655 1883917 2691310 3767834 5382620 7535668 9419585 18839170 37678340