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1906304 = 2753281
BaseRepresentation
bin111010001011010000000
310120211221212
413101122000
5442000204
6104505252
722126511
oct7213200
93524855
101906304
111092264
1277b228
135198ba
14378a08
15279c6e
hex1d1680

1906304 has 32 divisors (see below), whose sum is σ = 3883140. Its totient is φ = 931840.

The previous prime is 1906297. The next prime is 1906321. The reversal of 1906304 is 4036091.

It can be written as a sum of positive squares in 2 ways, for example, as 1827904 + 78400 = 1352^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1906304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6644 + ... + 6924.

21906304 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 1906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941570).

1906304 is an abundant number, since it is smaller than the sum of its proper divisors (1976836).

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

1906304 is an equidigital number, since it uses as much as digits as its factorization.

1906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1906304 is about 1380.6896827311. The cubic root of 1906304 is about 123.9930623937.

The spelling of 1906304 in words is "one million, nine hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 281 424 562 848 1124 1696 2248 3392 4496 6784 8992 14893 17984 29786 35968 59572 119144 238288 476576 953152 1906304