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9240804 = 22363169
BaseRepresentation
bin100011010000…
…000011100100
3122101111000000
4203100003210
54331201204
6530021300
7141355056
oct43200344
918344000
109240804
115241831
123117830
131bb7141
1413278d6
15c28039
hex8d00e4

9240804 has 42 divisors (see below), whose sum is σ = 24253670. Its totient is φ = 3079296.

The previous prime is 9240797. The next prime is 9240817. The reversal of 9240804 is 4080429.

9240804 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 419904 = 2970^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1332 + ... + 4500.

Almost surely, 29240804 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 9240804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126835).

9240804 is an abundant number, since it is smaller than the sum of its proper divisors (15012866).

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

9240804 is a wasteful number, since it uses less digits than its factorization.

9240804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9240804 is about 3039.8690761281. The cubic root of 9240804 is about 209.8472358377.

The spelling of 9240804 in words is "nine million, two hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3169 6338 9507 12676 19014 28521 38028 57042 85563 114084 171126 256689 342252 513378 770067 1026756 1540134 2310201 3080268 4620402 9240804