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3437368 = 231125367
BaseRepresentation
bin1101000111001100111000
320110122011221
431013030320
51334443433
6201401424
741134324
oct15071470
96418157
103437368
111a38600
121199274
1393475c
14656984
1547d72d
hex347338

3437368 has 48 divisors (see below), whose sum is σ = 7325640. Its totient is φ = 1510080.

The previous prime is 3437363. The next prime is 3437381. The reversal of 3437368 is 8637343.

It is a happy number.

3437368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 33 + 410 + 311 + 72 + 312 + 68 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437363) by changing a digit.

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, 51271 + ... + 51337.

Almost surely, 23437368 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 3437368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662820).

3437368 is an abundant number, since it is smaller than the sum of its proper divisors (3888272).

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

3437368 is a wasteful number, since it uses less digits than its factorization.

3437368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 3437368 is about 1854.0140236794. The cubic root of 3437368 is about 150.9183366158.

The spelling of 3437368 in words is "three million, four hundred thirty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 53 67 88 106 121 134 212 242 268 424 484 536 583 737 968 1166 1474 2332 2948 3551 4664 5896 6413 7102 8107 12826 14204 16214 25652 28408 32428 39061 51304 64856 78122 156244 312488 429671 859342 1718684 3437368