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10404306 = 23211217281
BaseRepresentation
bin100111101100…
…000111010010
3201120121000200
4213230013102
510130414211
61011000030
7154302153
oct47540722
921517020
1010404306
115966a00
123599016
1322038c3
14154b92a
15da7b56
hex9ec1d2

10404306 has 72 divisors (see below), whose sum is σ = 26329212. Its totient is φ = 2956800.

The previous prime is 10404281. The next prime is 10404311. The reversal of 10404306 is 60340401.

10404306 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9828225 + 576081 = 3135^2 + 759^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36886 + ... + 37166.

Almost surely, 210404306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164606).

10404306 is an abundant number, since it is smaller than the sum of its proper divisors (15924906).

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

10404306 is a wasteful number, since it uses less digits than its factorization.

10404306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10404306 is about 3225.5706471879. The cubic root of 10404306 is about 218.3086976975.

Adding to 10404306 its reverse (60340401), we get a palindrome (70744707).

The spelling of 10404306 in words is "ten million, four hundred four thousand, three hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 281 306 363 374 561 562 726 843 1089 1122 1683 1686 2057 2178 2529 3091 3366 4114 4777 5058 6171 6182 9273 9554 12342 14331 18513 18546 27819 28662 34001 37026 42993 52547 55638 68002 85986 102003 105094 157641 204006 306009 315282 472923 578017 612018 945846 1156034 1734051 3468102 5202153 10404306