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37968340 = 2251898417
BaseRepresentation
bin1001000011010…
…1100111010100
32122102222202211
42100311213110
534204441330
63433443204
7640503604
oct220654724
978388684
1037968340
111a4831a3
1210870504
137b34b97
145084c04
1534eed2a
hex24359d4

37968340 has 12 divisors (see below), whose sum is σ = 79733556. Its totient is φ = 15187328.

The previous prime is 37968319. The next prime is 37968341. The reversal of 37968340 is 4386973.

It can be written as a sum of positive squares in 2 ways, for example, as 28751044 + 9217296 = 5362^2 + 3036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 37968293 and 37968302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37968341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 949189 + ... + 949228.

It is an arithmetic number, because the mean of its divisors is an integer number (6644463).

Almost surely, 237968340 is an apocalyptic number.

It is an amenable number.

37968340 is an abundant number, since it is smaller than the sum of its proper divisors (41765216).

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

37968340 is a wasteful number, since it uses less digits than its factorization.

37968340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898426 (or 1898424 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 37968340 is about 6161.8455027694. The cubic root of 37968340 is about 336.1041461926.

The spelling of 37968340 in words is "thirty-seven million, nine hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1898417 3796834 7593668 9492085 18984170 37968340