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3478368 = 253191907
BaseRepresentation
bin1101010001001101100000
320112201102110
431101031200
51342301433
6202315320
741365005
oct15211540
96481373
103478368
111a66393
1211b8b40
1394a30a
146678ac
1548a963
hex351360

3478368 has 48 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 1097856.

The previous prime is 3478367. The next prime is 3478381. The reversal of 3478368 is 8638743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871 + ... + 2777.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 23478368 is an apocalyptic number.

3478368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3478368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808160).

3478368 is an abundant number, since it is smaller than the sum of its proper divisors (6137952).

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

3478368 is a wasteful number, since it uses less digits than its factorization.

3478368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1931 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 3478368 is about 1865.0383374076. The cubic root of 3478368 is about 151.5160043653.

The spelling of 3478368 in words is "three million, four hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1907 3814 5721 7628 11442 15256 22884 30512 36233 45768 61024 72466 91536 108699 144932 183072 217398 289864 434796 579728 869592 1159456 1739184 3478368