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10434004 = 227537989
BaseRepresentation
bin100111110011…
…010111010100
3201122002202121
4213303113110
510132342004
61011345324
7154454560
oct47632724
921562677
1010434004
115987249
1235b2244
132214289
1415586a0
15db1854
hex9f35d4

10434004 has 48 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4283136.

The previous prime is 10433987. The next prime is 10434029. The reversal of 10434004 is 40043401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117192 + ... + 117280.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 210434004 is an apocalyptic number.

10434004 is a gapful number since it is divisible by the number (14) 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 10434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

10434004 is an abundant number, since it is smaller than the sum of its proper divisors (11338796).

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

10434004 is a wasteful number, since it uses less digits than its factorization.

10434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10434004 is about 3230.1708933120. The cubic root of 10434004 is about 218.5162134705.

Adding to 10434004 its reverse (40043401), we get a palindrome (50477405).

The spelling of 10434004 in words is "ten million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 53 79 89 106 158 178 212 316 356 371 553 623 742 1106 1246 1484 2212 2492 4187 4717 7031 8374 9434 14062 16748 18868 28124 29309 33019 49217 58618 66038 98434 117236 132076 196868 372643 745286 1490572 2608501 5217002 10434004